Question 3: Suppose that X and Y are independent random variables, and that their moment generating functions are given by: 1 for t < 1 1 Mx(t) : My(t) = 1 for t < 1- Ot (1— өt)3 Find var(X +Y) Find E(XY) (a) (b)

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Question 3: Suppose that X and Y are independent random variables, and that their
moment generating functions are given by:
1
Мx(t) —
1
for t <
1
My(t) =
for t <
1– Ot
(1 — ө€)3
(a)
Find var(X +Y)
(Ъ)
Find E(XY)
Transcribed Image Text:Question 3: Suppose that X and Y are independent random variables, and that their moment generating functions are given by: 1 Мx(t) — 1 for t < 1 My(t) = for t < 1– Ot (1 — ө€)3 (a) Find var(X +Y) (Ъ) Find E(XY)
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