# The number of accidents in a period of one week follows a ## Problem 14E Chapter 5.4

Probability and Statistical Inference | 9th Edition

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Problem 14E

The number of accidents in a period of one week follows a Poisson distribution with mean 2. The numbers of accidents from week to week are independent.What is the probability of exactly seven accidents in a given three weeks? Hint: See Exercise 5.4-4.

References Exercise 5.4-4

Generalize Exercise 5.4-3 by showing that the sum of n independent Poisson random variables with respective means μ1,μ2, . . . ,μn is Poisson with mean References Exercise 5.4-3

Let X1, X2, X3 be mutually independent random variables with Poisson distributions having means 2, 1, and 4, respectively.

(a) Find the mgf of the sum Y = X1 + X2 + X3.

(b) How is Y distributed?

(c) Compute P(3 ≤ Y ≤ 9).

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General Chemistry Notes Week 3 Review pictures: (Note that radio waves aharmless, while gamma rays are the mos​ owerful AND dangerous​ form of radiation EX: the radiation emitted by an atomic bomb, chernobyl, and fallout 4) (This is an example...

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