Suppose that the number of eggs laid by a certain insect has a Poisson distribution with

Chapter 5, Problem 5.153

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Suppose that the number of eggs laid by a certain insect has a Poisson distribution with mean . The probability that any one egg hatches is p. Assume that the eggs hatch independently of one another. Find the a expected value of Y , the total number of eggs that hatch. b variance of Y .

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