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

A: Given:

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A: From the provided information, P (A) = 0.7, P (B) = 0.1

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A:

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Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).

A:

Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

A:

Q: If P(A)=0.32, P(B)=0.16, and P(A | B)=0.625, find P(A and B), P(A or B) and P(B|A).

A: This question is based on Probability formula.

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A:

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Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

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A:

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A: Hi there! Since there are two different questions we will solve one question for you. As the first…

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