The time (in minutes) between telephone calls at an insurance claims office has the following exponential probability distribution. f(x)=0.50e-0.50x        for x>=0 a. What is the mean time between telephone calls? b. What is the probability of having 30 seconds or less between telephone calls? c. What is the probability of having 1 minute or less between telephone calls? d. What is the probability of having 5 or more minutes without a telephone call?

Question

The time (in minutes) between telephone calls at an insurance claims office has the following
exponential probability distribution.

f(x)=0.50e-0.50x        for x>=0

a. What is the mean time between telephone calls?
b. What is the probability of having 30 seconds or less between telephone calls?
c. What is the probability of having 1 minute or less between telephone calls?
d. What is the probability of having 5 or more minutes without a telephone call?

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Statistics

Advanced Topics in Statistics