Question: The time between calls is exponentially distributed with a mean time between calls of 10 minutes. d. If there has not been a call in

The time between calls is exponentially distributed with a mean time between calls of 10 minutes.

d. If there has not been a call in 10 minutes, what is the probability that the time until the next call is less than 5 minutes?

e. What is the probability that there are no calls in the intervals from 10:00 to 10:05, from 11:30 to 11:35, and from 2:00 to 2:05?

f. What is the probability that the time until the third call is greater than 30 minutes?

g. What is the mean time until the fifth call?

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