Question: Requests for service in a queuing model follow a Poisson distribution with a mean of 7 per unit time. a) What is the probability that

Requests for service in a queuing model follow a Poisson distribution with a mean of 7 per unit time. a) What is the probability that the time until the first request is less than 4 time units? Round your answer to three decimal places (e. 0.987 ). P(X1)= b) What is the probability that the time between the second and third requests is greater than 7.5 time units? Round your answer to three decimal places (eg 0.987). P(X2)= c) Determine the mean rate of requests such that the probability is 0.9 that there are no requests in 0.5 time units? Round your answer to three decimal places (eg, 0.987) P(X1)=

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