Question

The salespeople at Gold Key Realty sell up to 9 houses per month. The probability distribution of a salesperson selling x houses in a month is as follows:
Sales (x)0123456789
Probability f (x).05.10.15.20.15.10.10.05.05.05

a. What are the mean and standard deviation for the number of houses sold by a salesperson per month?
b. Any salesperson selling more houses than the amount equal to the mean plus two standard deviations receives a bonus. How many houses per month must a salesperson sell to receive a bonus?

Answer

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