The time between successive calls to a corporate office is exponentially distributed with a mean of 10 minutes. Assume that the times between successive calls are independent of each other. Thus, the calls arrive according to a Poisson process. a. If four nonoverlapping20 minutes intervals are selected, what is the probability that none of these intervals contains any call? b. What is the probability that the first occurrence in which the time between

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The time between successive calls to a corporate office is exponentially distributed with a mean of 10 minutes. Assume that the times between successive calls are independent of each other. Thus, the calls arrive according to a Poisson process.

a. If four nonoverlapping20 minutes intervals are selected, what is the probability that none of these intervals contains any call?

b. What is the probability that the first occurrence in which the time between two calls exceeds 10 minutes is betweenthe fourth andthe fifth calls?

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