Suppose that X,Y, and Z are random variables with X ~ Bin(16, 1/4), Y ~ Geom(1/2), and Z ~ Poisson(5). Suppose further that X and Z are ndependent but that X and Y are not independent. Match up the following quantities. E(4Y - 2Z) Drag answer here 36 Var(2X + Y) 8 Drag answer here Var(X+2Z) 23 Drag answer here E(Y? + Z?) -2 Drag answer here Cannot be determined Var(X - Z) Drag answer here

Q: If X, Y and Z are three random variables, then cov (X +Y,Z) =cov(X,Z)+cov(Y,Z)

A: Solution

Q: bet X and Xe be two random variable such that the Condiional distribuhons and means exist. Show thak…

A: Here's the explanation is as follows; Part a) First we need check the identities conditioning on X2…

Q: Var(X – Y) Drag answer here Cannot be determined Var(X + 2Z) 107/36 Drag answer here E(Y + Z) 8 Drag…

A: The expectation of binomial distribution X can be determined as: E(X) = np        =7×16…

Q: iv) E[E[Y²|X]]_ (EY)²

A: Note: As per you request, we have helped you solve only Part (iv) of the question.

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A:

Q: Suppose that Z is a discrete random variable with Var(Z) = 1/2 a quantities. %3D Var(2 – Z) Drag…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Suppose that X, Y, and Z are random variables with X Bin(7, 1/6), Y Geom(1/2), and Poisson(6).…

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Q: Suppose U = 2T - 1 where T is a geometric random variable with parameter p. What is Var(U)?

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Q: Var(X – Z) Drag answer here E(4Y - 2Z) Drag answer here Var(2X + Y)

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

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A: We have given the following statement.

Q: 2. Let X and Y be random variables. Prove that px,x| = 1 if and only if Y = a +bX for some a, b E R.

A: If Y= a+bX  ........(i) Then expected Value of Y:  E(Y)= a+bE(X) Multiply equation (i) by X. XY=…

Q: Exercise 2D 1 X and Y are independent random variables such that X~ Po(3.3) and Y ~ Po(2.7). Find: b…

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Q: 4. Suppose we have random variables W and Q, and we know Var(W) = 25, Var(Q) = 10, and Cov(W, Q) =…

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

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