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Question: A high volume production process produces, on average, 3.4 defective parts per hour, and the number of defects in an hour follows a Poisson distribution. Let Xi= the number of defects produced in hour i(i= 1, 2).

a) Find Pr(X1= k) for k= 0, ..., 20.

b) Assuming that X1 and X2 are independent, calculate Pr(X1+ X2= k) for k= 0 to 20

c) Verify numerically that Y = X1+ X2has a Poisson distribution. What are its mean and variance?

Reference no: EM13582194

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