Question

X, Y, Z are 3 independent random variables. We know that Y, Z is the 0-1...

X, Y, Z are 3 independent random variables. We know that Y, Z is the 0-1 random variables indicating whether tossing a regular coin gets a head (1 means getting a head and 0 means not). We also know the following equations,

E(X2Y +XYZ)=7

E(XY 2 + XZ2) = 3

Please calculate the expectation and variance of variable X.

Homework Answers

Answer #1

Note-if there is any understanding problem regarding this please feel free to ask via comment box..thank you

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
. X,Y are absolutely continuous, independent random variables such that P(X ≥ z) = P(Y ≥...
. X,Y are absolutely continuous, independent random variables such that P(X ≥ z) = P(Y ≥ z) = e−z for z ≥ 0. Find the expectation of min(X,Y )
Suppose that X, Y, and Z are independent, with E[X]=E[Y]=E[Z]=2, and E[X2]=E[Y2]=E[Z2]=5. Find cov(XY,XZ). (Enter a...
Suppose that X, Y, and Z are independent, with E[X]=E[Y]=E[Z]=2, and E[X2]=E[Y2]=E[Z2]=5. Find cov(XY,XZ). (Enter a numerical answer.) cov(XY,XZ)= Let X be a standard normal random variable. Another random variable is determined as follows. We flip a fair coin (independent from X). In case of Heads, we let Y=X. In case of Tails, we let Y=−X. Is Y normal? Justify your answer. yes no not enough information to determine Compute Cov(X,Y). Cov(X,Y)= Are X and Y independent? yes no not...
3) Four statistically independent random variables, X, Y, Z, W have means of 2, -1, 1,...
3) Four statistically independent random variables, X, Y, Z, W have means of 2, -1, 1, -2 respectively, variances of X and Z are 9 and 25 respectively, mean-square values of Y and W are 5 and 20 respectively. Define random variable V as: V = 2X - Y + 3Z - 2W, find the mean-square value of V (with minimum math).
Exercise 7.3.8: In the following equations classify the point x = 0 as ordinary, regular singular,...
Exercise 7.3.8: In the following equations classify the point x = 0 as ordinary, regular singular, or singular but not regular singular. a) x2(1+x2)y′′ +xy=0 b) x2y′′ +y′ +y=0 c) xy′′ +x3y′ +y=0 d) xy′′ +xy′ −exy=0 e) x2y′′ +x2y′ +x2y=0
STAT 180 Let X and Y be independent exponential random variables with mean equals to 4....
STAT 180 Let X and Y be independent exponential random variables with mean equals to 4. 1) What is the covariance between XY and X. 2) Let Z = max ( X, Y). Find the Probability Density Function (PDF) of Z. 3) Use the answer in part 2 to compute the E(Z).
Independence. Suppose X and Y are independent. Let W = h(X) and Z = l`(Y )...
Independence. Suppose X and Y are independent. Let W = h(X) and Z = l`(Y ) for some functions h and `. Make use of IEf(X)g(Y ) = IEf(X)IEg(Y ) for all f and g greater or equal to 0 types of random variables, not just discrete random variables. a) Show that X and Z are independent. b) Show that W and Z are independent. c) Suppose Z = l`(Y ) and all we know is that X and Z...
Let X and Y be independent random variables, with X following uniform distribution in the interval...
Let X and Y be independent random variables, with X following uniform distribution in the interval (0, 1) and Y has an Exp (1) distribution. a) Determine the joint distribution of Z = X + Y and Y. b) Determine the marginal distribution of Z. c) Can we say that Z and Y are independent? Good
Assume that X~N(0, 1), Y~N(0, 1) and X and Y are independent variables. Let Z =...
Assume that X~N(0, 1), Y~N(0, 1) and X and Y are independent variables. Let Z = X+Y, and joint density of Y and Z is expressed as f(y, z) = g(z|y)*h(y) g(z|y) is conditional distribution of Z given y, and h(y) is density of Y how can i get f(y, z)?
Prove that if X and Y are non-negative independent random variables, then X^2 is independent of...
Prove that if X and Y are non-negative independent random variables, then X^2 is independent of Y^2. *** Please prove using independent random variables or variance or linearity of variance, or binomial variance.
6. Let d= X -Y, where X and Y are random variables with normal distribution, and...
6. Let d= X -Y, where X and Y are random variables with normal distribution, and X and Y are independent random variables. Assume that you know both the mean and variance of   X and Y, if you have random samples from X and Y with equal sample size, what is the sampling distribution for the sample means of d(assuming X and Y are independent)?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT