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Q:
John Thurgood founded a company that translates Chinese books into English. His company is currently testing a computer-based translation service. Since Chinese symbols are difficult to translate, John assumes the computer program will make some errors, but then so do human translators. The computer error rate is supposed to be an average of 3 per 400 words of translation. Suppose John randomly selects a 1,200-word passage. Assuming that the Poisson distribution applies, if the computer error rate is actually 3 errors per 400 words, find the probability that fewer than 9 errors will be found.
A) 0.000123
B) 0.0141
C) 0.0415
D) 0.4557
Q:
John Thurgood founded a company that translates Chinese books into English. His company is currently testing a computer-based translation service. Since Chinese symbols are difficult to translate, John assumes the computer program will make some errors, but then so do human translators. The computer error rate is supposed to be an average of 3 per 400 words of translation. Suppose John randomly selects a 1,200-word passage. Assuming that the Poisson distribution applies, if the computer error rate is actually 3 errors per 400 words, calculate the probability that more than 14 errors will be found.
A) 0.000123
B) 0.0141
C) 0.0415
D) 0.4557
Q:
John Thurgood founded a company that translates Chinese books into English. His company is currently testing a computer-based translation service. Since Chinese symbols are difficult to translate, John assumes the computer program will make some errors, but then so do human translators. The computer error rate is supposed to be an average of 3 per 400 words of translation. Suppose John randomly selects a 1,200-word passage. Assuming that the Poisson distribution applies, if the computer error rate is actually 3 errors per 400 words, determine the probability that no errors will be found.
A) 0.0001
B) 0.0141
C) 0.0415
D) 0.4557
Q:
College-Pro Painting does home interior and exterior painting. The company uses inexperienced painters that do not always do a high-quality job. It believes that its painting process can be described by a Poisson distribution with an average of 4.8 defects per 400 square feet of painting.
What is the probability that six randomly sampled sections of size 400 square feet will each have 7 or fewer blemishes?
A) 0.2818
B) 0.3414
C) 0.4857
D) 0.6509
Q:
College-Pro Painting does home interior and exterior painting. The company uses inexperienced painters that do not always do a high-quality job. It believes that its painting process can be described by a Poisson distribution with an average of 4.8 defects per 400 square feet of painting.
What is the probability that a 400-square-foot painted section will have fewer than 6 blemishes?
A) 0.2818
B) 0.3414
C) 0.4857
D) 0.6510
Q:
A stock portfolio contains 20 stocks. Of these stocks, 10 are considered "large-cap" stocks, 5 are "mid-cap," and 5 are "small cap." The portfolio manager has been asked by his client to develop a report that highlights 7 randomly selected stocks. When she presents her report to the client, all 7 of the stocks are large-cap stocks. The client is very suspicious that the manager has not randomly selected the stocks. She believes that the chances of all 7 of the stocks being large cap must be very low. Compute the probability of all 7 being large cap.
A) 0.0015
B) 0.0008
C) 0.0121
D) 0.0309
Q:
The Weyerhauser Lumber Company headquartered in Tacoma, Washington, is one of the largest timber and wood product companies in the world. Weyerhauser manufactures plywood at one of its Oregon plants. Plywood contains minor imperfections that can be repaired with small "plugs." One customer will accept plywood with a maximum of 3.5 plugs per sheet on average. Suppose a shipment was sent to this customer and when the customer inspected two sheets at random, 10 plugged defects were counted. What is the probability of observing 10 or more plugged defects if in fact the 3.5 average per sheet is being satisfied?
A) 0.1887
B) 0.1695
C) 0.2115
D) 0.2675
Q:
A new phone answering system installed by the Ohio Power Company is capable of handling five calls every 10 minutes. Prior to installing the new system, company analysts determined that the incoming calls to the system are Poisson distributed with a mean equal to two every 10 minutes. If this incoming call distribution is what the analysts think it is, what is the probability that in a 10-minute period more calls will arrive than the system can handle?
A) 0.174
B) 0.0812
C) 0.0166
D) 0.0233
Q:
A corporation has 11 manufacturing plants. Of these, 7 are domestic and 4 are located outside the United States. Each year a performance evaluation is conducted for 4 randomly selected plants.
What is the probability that a performance evaluation will include 2 or more plants from outside the United States?
A) 0.4242
B) 0.3776
C) 0.3523
D) 0.4696
Q:
A corporation has 11 manufacturing plants. Of these, 7 are domestic and 4 are located outside the United States. Each year a performance evaluation is conducted for 4 randomly selected plants.
What is the probability that a performance evaluation will contain 3 plants from the United States?
A) 0.4242
B) 0.3776
C) 0.3523
D) 0.4696
Q:
A corporation has 11 manufacturing plants. Of these, 7 are domestic and 4 are located outside the United States. Each year a performance evaluation is conducted for 4 randomly selected plants.
What is the probability that a performance evaluation will include exactly 1 plant outside the United States?
A) 0.4242
B) 0.3776
C) 0.3523
D) 0.4696
Q:
A population of 10 items contains 3 that are red and 7 that are green. What is the probability that in a random sample of 3 items selected without replacement, 2 red and 1 green items are selected?
A) 0.175
B) 0.086
C) 0.124
D) 0.211
Q:
Consider a situation in which a used-car lot contains five Fords, four General Motors (GM) cars, and five Toyotas. If five cars are selected at random to be placed on a special sale, what is the probability that three are Fords and two are GMs?
A) 0.09
B) 0.03
C) 0.04
D) 0.06
Q:
Arrivals to a bank automated teller machine (ATM) are distributed according to a Poisson distribution with a mean equal to three per 15 minutes.
What is the probability that fewer than four customers will arrive in a 30-minute segment?
A) 0.1512
B) 0.1889
C) 0.2515
D) 0.2576
Q:
Arrivals to a bank automated teller machine (ATM) are distributed according to a Poisson distribution with a mean equal to three per 15 minutes.Determine the probability that in a given 15-minute segment no customers will arrive at the ATM.
A) 0.0124
B) 0.0281
C) 0.0314
D) 0.0498
Q:
The mean number of errors per page made by a member of the word processing pool for a large company is thought to be 1.5 with the number of errors distributed according to a Poisson distribution. If three pages are examined, what is the probability that more than 3 errors will be observed?
A) 0.6577
B) 0.6969
C) 0.7324
D) 0.7860
Q:
Dell Computers receives large shipments of microprocessors from Intel Corp. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Dell decides to test five microprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is defective, the shipment is returned.
Calculate the probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors.
A) 0.3995
B) 0.3979
C) 0.5905
D) 0.4550
Q:
Dell Computers receives large shipments of microprocessors from Intel Corp. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Dell decides to test five microprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is defective, the shipment is returned.
If Intel and Dell agree that Intel will not provide more than 5% defective chips, calculate the probability that the entire shipment will be returned even though only 5% are defective.
A) 0.2262
B) 0.3478
C) 0.4564
D) 0.1812
Q:
Dell Computers receives large shipments of microprocessors from Intel Corp. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Dell decides to test five microprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is defective, the shipment is returned.
If Intel Corp.'s shipment contains 10% defective microprocessors, calculate the probability the entire shipment will be returned.
A) 0.4980
B) 0.4209
C) 0.4095
D) 0.4550
Q:
Magic Valley Memorial Hospital administrators have recently received an internal audit report that indicates that 15% of all patient bills contain an error of one form or another. After spending considerable effort to improve the hospital's billing process, the administrators are convinced that things have improved. They believe that the new error rate is somewhere closer to 0.05.Suppose that recently the hospital randomly sampled 10 patient bills and conducted a thorough study to determine whether an error exists. It found 3 bills with errors. Assuming that managers are correct that they have improved the error rate to 0.05, what is the probability that they would find 3 or more errors in a sample of 10 bills?
A) 0.0115
B) 0.0233
C) 0.0884
D) 0.0766
Q:
Given a binomial distribution with n = 8 and p = 0.40, obtain the probability that the number of successes is within 2 standard deviations of the mean.
A) 0.6887
B) 0.7334
C) 0.8665
D) 0.9334
Q:
Given a binomial distribution with n = 8 and p = 0.40, obtain the probability that the number of successes is larger than the mean.
A) 0.4059
B) 0.3882
C) 0.2582
D) 0.6070
Q:
Given a binomial distribution with n = 8 and p = 0.40, obtain the standard deviation.
A) 1.921
B) 1.386
C) 1.848
D) 1.465
Q:
Given a binomial distribution with n = 8 and p = 0.40, obtain the mean.
A) 2.8
B) 3.2
C) 3.6
D) 4.2
Q:
If a binomial distribution applies with a sample size of n = 20, find the standard deviation, n = 20, p = 0.20.
A) 1.7889
B) 2.1889
C) 2.7889
D) 3.1221
Q:
If a binomial distribution applies with a sample size of n = 20, find the expected value, n = 20, p = 0.20.
A) 2
B) 3
C) 4
D) 5
Q:
If a binomial distribution applies with a sample size of n = 20, find the probability of at least 7 successes if the probability of a success is 0.25.
A) 0.1814
B) 0.2142
C) 0.2333
D) 0.3123
Q:
If a binomial distribution applies with a sample size of n = 20, find the probability of 5 successes if the probability of a success is 0.40.
A) 0.1246
B) 0.1286
C) 0.0746
D) 0.0866
Q:
For a binomial distribution with a sample size equal to 10 and a probability of a success equal to 0.30, what is the probability that the sample will contain exactly three successes? Use the binomial formula to determine the probability.
A) 0.3277
B) 0.3288
C) 0.2668
D) 0.2577
Q:
The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and found that 20% have an outstanding balance at the credit card limit. Suppose the manager randomly selects 15 customers and finds 4 that have balances at the limit. Assume that the properties of the binomial distribution apply.
What is the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card?
A) 0.1876
B) 0.8358
C) 0.6482
D) 0.3832
Q:
The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and found that 20% have an outstanding balance at the credit card limit. Suppose the manager randomly selects 15 customers and finds 4 that have balances at the limit. Assume that the properties of the binomial distribution apply.
What is the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards?
A) 0.1876
B) 0.8358
C) 0.6482
D) 0.3832
Q:
Cramer's Bar and Grille in Dallas can seat 130 people at a time. The manager has been gathering data on the number of minutes a party of four spends in the restaurant from the moment they are seated to when they pay the check. Number of Minutes
Probability 60
0.05 70
0.15 80
0.20 90
0.45 100
0.10 110
0.05 What is the variance and standard deviation?
A) Variance = 164.99, standard deviation = 12.84
B) Variance = 233.75, standard deviation = 15.89
C) Variance = 128.75, standard deviation = 11.35
D) Variance = 134.75, standard deviation = 11.61
Q:
Cramer's Bar and Grille in Dallas can seat 130 people at a time. The manager has been gathering data on the number of minutes a party of four spends in the restaurant from the moment they are seated to when they pay the check. Number of Minutes
Probability 60
0.05 70
0.15 80
0.20 90
0.45 100
0.10 110
0.05 What is the mean number of minutes for a dinner party of four?
A) 65.5
B) 67.5
C) 85.5
D) 75.5
Q:
Jennings Assembly in Hartford, Connecticut, uses a component supplied by a company in Brazil. The component is expensive to carry in inventory and consequently is not always available in stock when requested. Furthermore, shipping schedules are such that the lead time for transportation of the component is not a constant. Using historical records, the manufacturing firm has developed the following probability distribution for the product's lead time. The distribution is shown here, where the random variable is the number of days between the placement of the replenishment order and the receipt of the item. x
P(x) 2
0.15 3
0.45 4
0.30 5
0.0.75 6
0.025 What is the coefficient of variation for delivery lead time?
A) 38.461%
B) 27.065%
C) 27.891%
D) 31.772%
Q:
Jennings Assembly in Hartford, Connecticut, uses a component supplied by a company in Brazil. The component is expensive to carry in inventory and consequently is not always available in stock when requested. Furthermore, shipping schedules are such that the lead time for transportation of the component is not a constant. Using historical records, the manufacturing firm has developed the following probability distribution for the product's lead time. The distribution is shown here, where the random variable is the number of days between the placement of the replenishment order and the receipt of the item. x
P(x) 2
0.15 3
0.45 4
0.30 5
0.0.75 6
0.025 What is the average lead time for the component?
A) 2.375
B) 2.875
C) 3.275
D) 3.375
Q:
The U.S. Census Bureau (Annual Social & Economic Supplement) collects demographics concerning the number of people in families per household. Assume the distribution of the number of people per household is shown in the following table: x
P(x) 2
0.27 3
0.25 4
0.28 5
0.13 6
0.04 7
0.03 Compute the variance and standard deviation of the number of people in families per household.
A) Variance=1.6499, standard deviation=1.2845
B) Variance=1.2845, standard deviation=1.6499
C) Variance=6.7182, standard deviation=2.5919
D) Variance=2.5919, standard deviation=6.7182
Q:
The U.S. Census Bureau (Annual Social & Economic Supplement) collects demographics concerning the number of people in families per household. Assume the distribution of the number of people per household is shown in the following table: x
P(x) 2
0.27 3
0.25 4
0.28 5
0.13 6
0.04 7
0.03 Calculate the expected number of people in families per household in the United States.
A) 2.71
B) 3.33
C) 3.51
D) 4.33
Q:
The roll of a pair of dice has the following probability distribution, where the random variable is the sum of the values produced by each die: x
P(x) 2
1/36 3
2/36 4
3/36 5
4/36 6
5/36 7
6/36 8
5/36 9
4/36 10
3/36 11
2/36 12
1/36 Calculate the standard deviation of x.
A) 3.415
B) 2.333
C) 3.125
D) 2.415
Q:
The roll of a pair of dice has the following probability distribution, where the random variable is the sum of the values produced by each die: x
P(x) 2
1/36 3
2/36 4
3/36 5
4/36 6
5/36 7
6/36 8
5/36 9
4/36 10
3/36 11
2/36 12
1/36 Calculate the variance of x.
A) 5.833
B) 6.122
C) 5.666
D) 5.122
Q:
The roll of a pair of dice has the following probability distribution, where the random variable is the sum of the values produced by each die: x
P(x) 2
1/36 3
2/36 4
3/36 5
4/36 6
5/36 7
6/36 8
5/36 9
4/36 10
3/36 11
2/36 12
1/36 Calculate the expected value of x.
A) 6
B) 7
C) 8
D) 9
Q:
Because of bad weather, the number of days next week that the captain of a charter fishing boat can leave port is uncertain. Let x = number of days that the boat is able to leave port per week. The following probability distribution for the variable, x, was determined based on historical data when the weather was poor: x
P(x) 0
0.05 1
0.10 2
0.10 3
0.20 4
0.20 5
0.15 6
0.15 7
0.05 Based on the probability distribution, what is the expected number of days per week the captain can leave port?
A) 3.7
B) 4.5
C) 2.8
D) 1.7
Q:
The random variable x is the number of customers arriving at the service desk of a local car dealership over an interval of 10 minutes. It is known that the average number of arrivals in 10 minutes is 5.3. The probability that there are less than 3 arrivals in any 10 minutes is:
A) .0659
B) .0948
C) .1016
D) .1239
Q:
A local paint store carries 4 brands of paint (W, X, Y, and Z). The store has 5 cans of W, 3 cans of X, 6 cans of Y, and 15 cans of Z, all in white. It is thought that customers have no preference for one of these brands over another. If this is the case, what is the probability that the next 5 customers will select 1 can of W, X, Y and 2 cans of brand Z?
A) About .23
B) Approximately .08
C) Over .30
D) 0.25
Q:
A small city has two taxi companies (A and B). Each taxi company has 5 taxis. A motel has told these companies that they will randomly select a taxi company when one of its customers needs a cab. This morning 3 cabs were needed. Assuming that no one individual taxi can be used more than once, what is the probability that 2 of the cabs selected will be from Company A and the other will be from B?
A) 0.417
B) 0.25
C) 0.583
D) 0.5
Q:
The hypergeometric probability distribution is used rather than the binomial or the Poisson when:
A) the sampling is performed with replacement.
B) the sampling is performed without replacement from an infinite population.
C) the sampling is performed without replacement from a finite population.
D) the sampling is performed with replacement from a finite population.
Q:
If a distribution is considered to be Poisson with a mean equal to 11, the most frequently occurring value for the random variable will be:
A) 10.5
B) 11
C) 10 and 11
D) 22
Q:
If the standard deviation for a Poisson distribution is known to be 3, the expected value of that Poison distribution is:
A) 3
B) about 1.73
C) 9
D) Can't be determined without more information.
Q:
The manager of a movie theater has determined that the distribution of customers arriving at the concession stand is Poisson distributed with a standard deviation equal to 2 people per 10 minutes. What is the probability that 0 customers arrive during a 10-minute period?
A) 0.1353
B) 0.0183
C) 0.9817
D) Essentially 0
Q:
The manager of a movie theater has determined that the distribution of customers arriving at the concession stand is Poisson distributed with a standard deviation equal to 2 people per 10 minutes. What is the probability that more than 3 customers arrive during a 10-minute period?
A) 0.1804
B) 0.5665
C) 0.4335
D) 0.1954
Q:
Which of the following statements is true with respect to a Poisson distribution?
A) The Poisson distribution is symmetrical when the mean is close to 5.
B) The Poisson distribution is more right-skewed for smaller values of the mean.
C) The variance of the Poisson distribution is equal to the square root of the expected value.
D) The Poisson distribution is an example of a continuous probability distribution.
Q:
The number of weeds that remain living after a specific chemical has been applied averages 1.3 per square yard and follows a Poisson distribution. Based on this, what is the probability that a 3-square yard section will contain less than 4 weeds?
A) 0.4532
B) 0.2001
C) 0.6482
D) 0.1951
Q:
The number of weeds that remain living after a specific chemical has been applied averages 1.3 per square yard and follows a Poisson distribution. Based on this, what is the probability that a 1-square yard section will contain less than 4 weeds?
A) 0.0324
B) 0.0998
C) Nearly 0.5000
D) 0.9569
Q:
If cars arrive to a service center randomly and independently at a rate of 5 per hour on average, what is the probability that exactly 5 cars will arrive during a given hour?
A) 0.1755
B) 0.6160
C) 0.1277
D) Essentially zero
Q:
If cars arrive to a service center randomly and independently at a rate of 5 per hour on average, what is the probability of 0 cars arriving in a given hour?
A) 0.1755
B) 0.0067
C) 0.0000
D) 0.0500
Q:
The number of customers who enter a bank is thought to be Poisson distributed with a mean equal to 10 per hour. What are the chances that 2 or 3 customers will arrive in a 15-minute period?
A) 0.0099
B) 0.4703
C) 0.0427
D) 0.0053
Q:
The number of customers who enter a bank is thought to be Poisson distributed with a mean equal to 10 per hour. What are the chances that no customers will arrive in a 15-minute period?
A) Approximately zero
B) 0.0067
C) 0.0821
D) 0.0250
Q:
The number of visible defects on a product container is thought to be Poisson distributed with a mean equal to 3.5. Based on this, how many defects should be expected if 3 containers are inspected?
A) 10.5
B) Approximately 3.24
C) Between 4 and 7
D) 3.5
Q:
The number of visible defects on a product container is thought to be Poisson distributed with a mean equal to 3.5. Based on this, the probability that 2 containers will contain a total of less than 2 defects is:
A) 0.0223
B) 0.1359
C) 0.0073
D) 0.1850
Q:
Assuming that potholes occur randomly along roads, the number of potholes per mile of road could best be described by the:
A) binomial distribution.
B) Poisson distribution.
C) hypergeometric distribution.
D) continuous distribution
Q:
If a study is set up in such a way that a sample of people is surveyed to determine whether they have ever used a particular product, the likely probability distribution that would describe the random variable, the number who say yes, is a:
A) binomial distribution.
B) Poisson distribution.
C) uniform distribution.
D) continuous distribution.
Q:
The probability that a product is found to be defective is 0.10. If we examine 50 products, which of the following has the highest probability?
A) 3 defective products are found.
B) 4 defective products are found.
C) 5 defective products are found.
D) 6 defective products are found.
Q:
If the number of defective items selected at random from a parts inventory is considered to follow a binomial distribution with n = 50 and p = 0.10, the standard deviation of the number of defective parts is:
A) 5
B) 4.5
C) 45
D) about 2.12
Q:
If the number of defective items selected at random from a parts inventory is considered to follow a binomial distribution with n = 50 and p = 0.10, the expected number of defective parts is:
A) 5
B) approximately 2.24
C) more than 10
D) 0.5
Q:
Which of the following statements is true?
A) A binomial distribution with n = 20 and p = 0.05 will be right-skewed.
B) A binomial distribution with n = 6 and p = 0.50 will be symmetric.
C) A binomial distribution with n = 20 and p = 0.05 has an expected value equal to 1.
D) A, B, and C are all true.
Q:
Which of the following is true with respect to the binomial distribution?
A) As the sample size increases, the expected value of the random variable decreases.
B) The binomial distribution becomes more skewed as the sample size is increased for a given probability of success.
C) The binomial distribution tends to be more symmetric as p approaches 0.5.
D) In order for the binomial distribution to be skewed, the sample size must be quite large.
Q:
Madam Helga claims to be psychic. A national TV talk personality plans to test her in a live TV broadcast. The process will entail asking Madam Helga a series of 20 independent questions with yes/no answers. The questions would be of the nature that she could not have any way of knowing the answer from prior knowledge. Suppose that Madam Helga correctly answered 15 of the 20 questions, which of the following would be a viable conclusion to reach?
A) Because the probability of guessing 15 or more correctly is 0.0207, it is unlikely that she is guessing at the questions and may, in fact, have some special ability.
B) Because the probability of getting 15 or more correct is 0.0207, it is likely that she is just guessing at the questions.
C) If she were guessing, 15 is within one standard deviation of the mean and therefore she must not have any special psychic abilities.
D) Because the probability of guessing exactly 15 correct is 0.0148, she must just be guessing.
Q:
Madam Helga claims to be psychic. A national TV talk personality plans to test her in a live TV broadcast. The process will entail asking Madam Helga a series of 20 independent questions with yes/no answers. The questions would be of the nature that she could not have any way of knowing the answer from prior knowledge. She will be considered psychic if she correctly answers more than a specified number (called the cut-off) of the questions. The cut-off must be set so that the chance of guessing that number or more is no greater than 5 percent. The cut-off value should be:
A) 12
B) 14
C) 10
D) Can't be determined without more information.
Q:
Many people believe that they can tell the difference between Coke and Pepsi. Other people say that the two brands can't be distinguished. To test this, a random sample of 20 adults was selected to participate in a test. After being blindfolded, each person was given a small taste of either Coke or Pepsi and asked to indicate which brand soft drink it was. Suppose 14 people correctly identified the soft drink brand. Which of the following conclusions would be warranted under the circumstance?
A) Since the chance of getting 14 correct is 0.0370, which is quite small, the study shows that people are not able to identify brands effectively.
B) Since the probability of getting 14 or more correct is 0.0577, which is quite low, this means that people are not effective in identifying the soft drink brand.
C) Since the probability of getting 14 or more correct is 0.0577, which is quite low, the conclusion could be that people are effective at identifying soft drink brands.
D) The expected value for this binomial distribution is very close to 14 so this supports that people cannot tell the difference.
Q:
Many people believe that they can tell the difference between Coke and Pepsi. Other people say that the two brands can't be distinguished. To test this, a random sample of 20 adults was selected to participate in a test. After being blindfolded, each person was given a small taste of either Coke or Pepsi and asked to indicate which brand soft drink it was. If people really can't tell the difference, the probability that fewer than 6 people will guess correctly is:
A) 0.0148
B) approximately 0.02
C) 0.0307
D) 0.0514
Q:
Many people believe that they can tell the difference between Coke and Pepsi. Other people say that the two brands can't be distinguished. To test this, a random sample of 20 adults was selected to participate in a test. After being blindfolded, each person was given a small taste of either Coke or Pepsi and asked to indicate which brand soft drink it was. If people really can't tell the difference, the expected number of correct identifications in the sample would be:
A) 10.
B) 0.
C) between 4 and 9.
D) Can't be determined without more information.
Q:
Previous research shows that 60 percent of adults who drink non-diet cola prefer Coca-Cola to Pepsi. Recently, an independent research firm questioned a random sample of 25 adult non-diet cola drinkers. That chance that 20 or more of these people will prefer Coca-Cola is:
A) essentially zero.
B) 0.0199.
C) 0.0294.
D) None of the above
Q:
The Vardon Exploration Company is getting ready to leave for South America to explore for oil. One piece of equipment requires 10 batteries that must operate for more than 2 hours. The batteries being used have a 15 percent chance of failing within 2 hours. The exploration leader plans to take 15 batteries. Assuming that the conditions of the binomial apply, the probability that the supply of batteries will not contain enough good ones to operate the equipment is:
A) 0.0449
B) 0.0132
C) 0.9832
D) 0.0168
Q:
The Vardon Exploration Company is getting ready to leave for South America to explore for oil. One piece of equipment requires 10 batteries that must operate for more than 2 hours. The batteries being used have a 15 percent chance of failing within 2 hours. The exploration leader plans to take 15 batteries. Assuming that the conditions of the binomial apply, the probability that the supply of batteries will contain enough good ones to operate the equipment is:
A) 0.0449
B) 0.9832
C) 0.0132
D) 0.9964
Q:
A package delivery service claims that no more than 5 percent of all packages arrive at the address late. Assuming that the conditions for the binomial hold, if a sample of size 10 packages is randomly selected and the 5 percent rate holds, what is the probability that more than 2 packages will be delivered late?
A) 0.0115
B) 0.0105
C) 0.0862
D) 0.0746
Q:
A package delivery service claims that no more than 5 percent of all packages arrive at the address late. Assuming that the conditions for the binomial hold, if a sample of size 10 packages is randomly selected, and the 5 percent rate holds, what is the probability that exactly 2 packages in the sample arrive late?
A) 0.0746
B) 0.9884
C) 0.2347
D) 0.0439
Q:
Which of the following is not a condition of the binomial distribution?
A) Two possible outcomes for each trial
B) The trials are independent.
C) The standard deviation is equal to the square root of the mean.
D) The probability of a success remains constant from trial to trial.
Q:
The probability function for random variable X is specified as: The expected value of X is
A) 0.333
B) 0.500
C) 2.000
D) 2.333
Q:
Which of the following statements is incorrect?
A) The expected value of a discrete probability distribution is the long-run average value assuming the experiment will be repeated many times.
B) The standard deviation of a discrete probability distribution measures the average deviation of the random variable from the mean.
C) The distribution is considered uniform if all the probabilities are equal.
D) The mean of the probability distribution is equal to the square root of the variance.
Q:
Consider the following two probability distributions: Which of the following is an accurate statement regarding these two distributions?
A) Distribution A has a higher variance.
B) Distribution B has a higher variance.
C) Both distributions are positively skewed.
D) Both distributions are uniform.
Q:
A sales rep for a national clothing company makes 4 calls per day. Based on historical records, the following probability distribution describes the number of successful calls each day: Successful Calls
Probability 0
0.10 1
0.30 2
0.30 3
0.20 4
0.10 Based on the information provided, what is the probability of having at least 2 successful calls in one day?
A) 0.60
B) 0.20
C) 0.30
D) 0.10