Question: Consider a Poisson Process with mean value function M(t) = 0.4t that is used to track the mean number of repair requests per day

Consider a Poisson Process with mean value function M(t) = 0.4t that

Consider a Poisson Process with mean value function M(t) = 0.4t that is used to track the mean number of repair requests per day arriving at a repair facility (t is in days). Now answer the same questions assuming mean value function M(t) = 0.4t a. What is the expected number of repair requests between Day 1 and Day 7? b. What is the probability of no repair requests in the first 4 days and then I request for each day for days 5, 6 and 7? c. If there are no repair requests for Day 1, what is the probability distribution for the number of repair requests for Day 2? d. If we have the first repair request at time t-2 and then no more requests by time t-4, what is the probability the second request will not come until after day 7?

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