A four-sided die has two faces numbered 0 and two faces numbered 2. Another four-sided die has its faces numbered 0, 1, 4, and 5. The two dice are rolled. Let X and Y be the respective outcomes of the roll. Let W = X + Y . (a) Find E(W) (b) Find Var(W)

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Q: If P (A)=0.6, P (B)=0.1, and A and B are mutually exclusive, find P (A or B).

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Q: Let P (A) = 0.4 and P (A ∪ B) = 0.6. For what value of P (B) are A and B independent?

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Q: Given P(A) = 0.20, P(B) = 0.25, and P(B|A) = 0.25, are A and B independent or dependent?

A: PA=0.20, PB=0.25 and PB|A=0.25

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Q: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

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Q: If p(A) = 0.11, p(B) = 0.15 and p(A and B) = 0.26, are A and B independent? %D

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Q: iven P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

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Q: If VAR(X) = 8, E(X)= 3, then E(X – 2)² = None

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Q: If P (A)=0.5, P (B)=0.3, and A and B are mutually exclusive, find P (A or B). P(A or B) =

A: Given that  P(A)=0.5 , P(B)=0.3  A and B are mutually exclusive

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Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

A: Events A and B are said to be independent if P(A∩B)=P(A)·P(B) Given:  P(A) = 0.27, P(B) = 0.27, and…