(Answered) Question 1 the dispatcher at a central fire station has

Statistics

Question 1. The dispatcher at a central fire station has observed that the time between calls is an exponential random variable with a mean of 32 minutes.

a) A call has just arrived. What is the probability that thenext call will arrive within the next half hour?

b) It is now noon and the most recent call came in at 11.35AM.What is the probability that the next call will arrive before 12.30PM?

C) What is the probability that there will be exactly two calls during the next hour?

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