Question Suppose that X and Y are random variables with E(X) = 2, E(Y) = 5 and E(X²) = 8. E(Y²) = 30 and cov(X + 2Y. -3X +4Y) = -12, then cov(2X + 3,−3Y + 4) is equal to: Hint: cov(aX + b¥, cX + dY) = acK(X) + bdV(Y) + (bc + ad)cov(X,Y) 4 O-120 Question IT a typist makes errors at random at a meti rate of 3 per page then the probability of making at least 4 ctruis of INO TREENIN INORI-NİN O E BLIN 92

Q: Calculate E((X +Y)²).

A:

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A: Given Information: Let X be a random variable taking three values: PX=a1=p1, PX=a2=p2, PX=a3=p3,…

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A: the joint PMF of random variables X and Y is:- P(X=x,Y=y) = a(x+y);   { (x,y) : {4,5,6} x {1,2,3}  }…

Q: 3. Let the random variable X have the pmf f(x) = = a) E(X) b) E(X²) c) E(3X²2X + 4) (x+1)² for x =…

A: The provided information is as follows:The probability mass function of  is .

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Suppose that X andY are random variables with E(X) = 2 , E(Y) = 5 and E(X²) = 8, E(Y?) = 30 and…

A: Given that ; E(x) = 2   ;    E(x2 ) = 8  ; E(y) = 5  ;    E(y2 ) = 30 By using these information we…

Q: Let X and Y be random variables such that var(X) = 16, var (Y) = 9, and p = cor(X, Y) = -0.5. a.…

A: Solution

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Q: 5. Let X and Y be random variables such that var(X)=16, var(Y) = 9, and p = cor(X,Y) = -0.5. %3D a.…

A:

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