The probability function for the number of insurance policies John will sell to a customer is given byf(X) = .5 - (X/6) for X = 0, 1, or 2
a.Is this a valid probability function? Explain your answer.b.What is the probability that John will sell exactly 2 policies to a customer?c.What is the probability that John will sell at least 2 policies to a customer?d.What is the expected number of policies John will sell?e.What is the variance of the number of policies John will sell?
What will be an ideal response?
| a. | yes f(x)  0 and ? f(x) = 1 |
| b. | 0.167 |
| c. | 0.167 |
| d. | 0.667 |
| e. | 0.556 |
Business
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