Question: Use Theorem 5.9 to find the moment generating function of Y = X λ, where X is a random variable having the Poisson distribution with

Use Theorem 5.9 to find the moment€“ generating function of Y = X €“ λ, where X is a random variable having the Poisson distribution with the parameter λ, and use it to verify that σ2Y = λ.
Use Theorem 5.9 to find the moment€“ generating function of

Use Theorem 5.9 to show that for the Poisson distribution 3T 1/1A where 3 is the measure of skewness defined in Exercise 4.26 on page 129 Theorem 5.9 The moment-gener ating function of the Poisson distribution is given by SOLUTION "

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