Question: suppose x and y are two random variables such that E ( y | x ) = x assuming that variances exists , prove that

suppose x and y are two random variables such that E(y|x)=x assuming that variances exists ,prove that var(y)>=var(x)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

ECON 3170 TERM TEST 3 1) Suppose X and Y are two random variables with E(X) = 0.50, E(Y) = 1.55, E(XY) = 0.90, Var(X) = 0.20, and A) 0.125 Var()) = 0.3. What is the value of Corr(X, ))? B ) 0.5103 C)...

Q:

Suppose X and Y are two random variables with E[X] = 1, Var (X) = 4, E[Y ] = -1, Var (Y) = 4, and Cov (X, Y) = 1. Find Var (X - Y). 0 4 0 6 0 8 O 2 O None of the aboveConsider a right tailed test...

Q:

Suppose X and Y are two random variables with E[X] = 1, Var (X) = 4, E[Y ] = -1, Var (Y) = 4, and Cov (X, Y) = 1. Find Var (X - Y). 0 4 0 6 0 8 O 2 O None of the aboveConsider a right tailed test...

Q:

Applied statistics 14 14. Suppose X and Y are two random variables which satisfy E(X) = 2, sd(X) = 5 (1) E(Y) = 0, sd(Y) = 2 cov(X, Y) = -1/2 (3) Which of the following random variables is the...

Q:

Question is in picture below. Prove statements A, B, C, D are true or false with explanation. Problem 5 Suppose X] and X2 are two random variables with a joint density fx x, (s, t). Suppose that...

Q:

Best Linear Prediction. (Problems 16 and 17 are based on Amemiya (1994)). Let X and Y be two random variables with means X and Y and variances 2 X and 2 Y , respectively. Suppose that =...

Q:

Please explain it step by step, in details with the theory , thanks! .Suppose X and Y are two random variables with E (X) = 1.50, E (Y) = 0.55, E(XY) = 0.80, Var(X) = 0.25, and Var(Y) = 0.2475. a....

Q:

Suppose x and y are two random variables. If y= 3x -2 then the mathematical expectationsand variances of x and y are related as follows a) E(y)=3E(x)-2, V(y)=9V(x)-2 b) E(y)=3E(x), V(y)=9V(x) c)...

Q:

Please explain the theory first and then the answer, thanks ! Suppose X and Y are two random variables with E (X) = 1.50.5 (Y) = 0.55, E(XY) = 0.80, Var(X) = 0.25, and Var(Y) = 02475. a. What is the...

Q:

Please explain the theory first and then step by step explanations towards the answer, thanks ! Suppose X and Y are two random variables with E (X) = 1.50.5 (Y) = 0.55, E(XY) = 0.80, Var(X) = 0.25,...

Q:

You are required to discuss two 2 different CCA classes and give examples Discuss whether you believe the amount allowed as a deduction is an advantage or disadvantage for the taxpayer and why

Q:

Is Scott Pearls goal setting an example of primary, secondary, or tertiary preventive stress management? Explain.

Q:

PART I TRUE OR FALSE Variable costs are those costs that respond proportionately to changes in volume of activity. Process cost accounting is most appropriate when accounting for relatively large...

Q:

Hash - based antivirus evasion can be trivial for a malware writer.

Q:

Understand how to address and refine results to arrive at useful information provided to management and other decision makers.

Q:

Is the distribution of actual leading digits similar to the distribution of the Benfords law expected digits distribution?

Q:

What is the percentage of total leading digits in the actual observations that begin with 7?