# Question

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

Æ’(x) = .50e â€“.50x for x â‰¥ 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?

Æ’(x) = .50e â€“.50x for x â‰¥ 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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