Two random variables X and Y are defined by X = 0, Y =-1, X² = 2, y² = 4 and Ry -2. Two new random variables W and U are W = 2X+Y, U = X-3Y. Find W, Ū, W²

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A: It is an important part of statistics. It is widely used.

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A: E(XY)=E(X)E(Y)

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A: It is an important part of statistics. It is widely used.

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A: Note According to Bartleby guidelines expert solve only one question and rest can be reposted.

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Q: 3 The random variable X ~ B(40, 0.4). Find: a P(X 16) e P(11< X< 15) d P(10< X< 17)

A: The mean is computed as: The standard deviation is computed as In the given case, the required…

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A: x1 ~ N(20,25) x2 ~ N(8,8)   The distribution of the mean of x1 is  x1 ~ N(u,σn)  x1 ~ N(20,2516) x1…

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A: Given,Var(2X-Y)=3Var(X+3Y)=5and X,Y are independent

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Q: If X and Y are two independent random variables, then Ox+y(@) = x (@) 0, (@) %3D

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A: It is given that the random variables X and Y are independent.

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A: Given: EkX+Y=16So, kEX+EY=16    ...(1) EX+Y=6So, EX+EY=6EY=6-EX          ...(2) EX+kY=8So, EX+kEY=8…

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Q: Question * Suppose that X and Y are random variables with E(X) = 2. E(Y) = 5 and E(X²) = 8, E(Y) =…

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Q: 1) If Var(X-Y) = 2, Var(X+ Y) = 4, E(X) = 3 and E(Y) E(XY)? = 1, than what is

A: According to bartleby experts guidelines we can answer only question. Rest can be repost.

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Q: Let P and Q be two independent Random variables with Var(P) = 5 and Var(Q) = 4. Find Var(7P+4Q-1).

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A: Given,E(X)10Var(X)=4E(Y)=12Var(Y)=3W=-2X+Y X and Y are independent.

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A: Given,Var(W)=25Var(Q)=10Cov(W,Q)=2