Question: Recall Problem 4.2.7 concerning the arrivals at a factory first-aid room. (a) What is the distribution of the time between the first arrival of the

Recall Problem 4.2.7 concerning the arrivals at a factory first-aid room.
(a) What is the distribution of the time between the first arrival of the day and the fourth arrival?
(b) What is the expectation of this time?
(c) What is the variance of this time?
(d) By using (i) the gamma distribution and (ii) the Poisson distribution, show how to calculate the probability that this time is longer than three hours.

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a A gamma distribution with parameters k 3 and 18 b EX 318 1667 c Var X 318 2 09259 d ... View full answer

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