Let X1 and X2 be independent identically distributed random variables with pmf p(0) = 1/4, p(1)...

Let X₁ and X₂ be independent identically distributed random variables with pmf p(0) = 1/4, p(1) = 1/2, p(2) = 1/4

(a) What is the probability mass function (pmf) of X₁ + X₂?

(b) What is the probability mass function (pmf) of X₍₂₎ = max{X₁, X₂}?

(c) What is the MGF of X₁?

(d) What is the MGF of X₁ + X₂

Expert Solution

orchestra answered 2 years ago

Let X1 and X2 be independent identically distributed random variables with pmf p(0) = 1/4, p(1)...

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Let X1 and X2 be independent identically distributed random variables with pmf p(0) = 1/4, p(1)...

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