Consider two binary random variables X and Y, i.e. they take values in R = {0, 1} You are told that P(X = 0) = 1/3 and P(Y = 1) = 1/3, and that the probabilit that X and Y have the same value is P(X =Y) = 1/2. %3D

Q: Consider a discrete random variable X with a pmf given by i) ii) iv) p(x) = cx2, if x = 1,2,3,4 0,…

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Q: Suppose X is a random variable such that EX = 50 and V arX = 12. Find (a) E(X 2 ) (b) E(3X + 2) (c)…

A: The given X is a random variable with EX=50 and VarX=12.

Q: 2)Consider a random variable X with MGF M(t) = e³t+4t² Find the mean and variance of X.

A: Question 2)The moment generating function (MGF) of a random variable  is, The objective is to…

Q: 8. Two independent random variables X1=(-1.0.1) and X2-(0.1) can take the following probability…

A: Expected value is used for discrete or continuous probability function. It is calculated by the…

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: There are three random variables X, Y and Z,for which we know the following information E(X)= 6,…

A: Given,V(X)=18  ,  V(Y)=22   ,   V(Z)=4Cov(X,Y)=-12   ,  Cov(X,Z)=5Cov(Y,Z)=8

Q: Consider three independent random variables x1, x2 and x3 with the same expected value µ and…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: There are three random variables X, Y and Z, for which we know the following information E(X)= 6,…

A: Given: There are three random variables X, Y and Z. The given values are:…

Q: Suppose that X is a random variable with mean 30 and standard deviation 4. Y is a random variable…

A: Given E(X)=30, sd(X)=4  E(Y)=50 , sd(Y)=8  correlation (X,Y)=0 1) Z= 35-10X 2) Z= X+Y 3) Z= -2X - 2Y…

Q: Let X1, X2, X3, and X4 be a random sample of observations from a population with  mean μ and…

A: The given estimator of μ is θ^=0.15X1+0.35X2+0.20X3+0.30X4. Also given that X1, X2, X3, and X4 be a…

Q: Suppose the joint PMF of the random variables X and Y is P(X= x, Y = y) = a(x+y) if(x, y) = {1,2,3}…

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