Suppose X and Y are discrete random variables with the following joint p.m.f., where any letters denote probabilities that you might need to figure out. f(x, y) Y = 1.6 Y = 27 P(X = x) X = -3 a b e X = 0 X = 5 P(Y = y) 0.2 0.1 0.3 0.3 d f 9 с 0.2 (a) Find P(X>0) (b) Find E(X) and E(Y) (c) Find Var(X) and Var(Y)

Q: PROVE: Z3 = 26 k 2 4 3 a 5 8 7 b LO

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A:

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Q: If n(A) = 44, n(B) = 15, and n(A n B) = 4, find n(A u B). %3D

A: Using the union formula we get:n(A∪B)=n(A)+n(B)-n(A∩B)=44+15-4=55