(a) Let X be a binomial random variable with parameters (n, p). Let Y be a...

(a) Let X be a binomial random variable with parameters (n, p). Let Y be a binomial random variable with parameters (m, p).

What is the pdf of the random variable Z=X+Y?

(b) Let X and Y be indpenednet random variables. Let Z=X+Y.

What is the moment generating function for Z in terms of those for X and Y?

Confirm your answer to the previous problem (a) via moment generating functions.

Expert Solution

orchestra answered 1 year ago

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(a) Let X be a binomial random variable with parameters (n, p). Let Y be a...

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