The probability function for the number of insurance policies John will sell to a customer is given by f(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?


a. yes f(x) ? 0 and ?f(x) = 1
b. .167
c. .167
d. .667
e. .556

Business

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