The length of time that an individual spends on a phone call has an exponential

Question

The length of time that an individual spends on a phone call has an exponential distribution with mean 3 minutes. Suppose that the length of time X this individual spends on five phone calls can be modeled by a gamma distribution with = 5 and = 3. A. What are the mean and standard deviation of the length of time this individual spends on five phone calls? Mean = 5/3 Incorrect: Your answer is incorrect. Standard deviation = (round to 2 decimals.) B. What is the probability that this person is on the phone more than half an hour in order to complete five phone calls? (Round to 3 decimals.) Answer = You may need to use the appropriate table in the Appendix of Tables

Explanation / Answer

A)here mean = =5*3=15

and std deviation =(2)1/2 =(5*32)1/2 =6.71

B)

probability that this person is on the phone more than half an hour in order to complete five phone calls

=P(X>30)=1-P(X<30)=1-0.9707 =0.029

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