Question

Determine whether E[X|X>2] + E[Y|X>2] can always be combined to form E[X+Y| X>2] or not. Give...

Determine whether E[X|X>2] + E[Y|X>2] can always be combined to form E[X+Y| X>2] or not. Give clear reasoning for full marks.

Homework Answers

Answer #1

Let Z = X + Y

Let Rx, Ry, Rz be the regions over which x, y, z are defined/

Given X > 2,  the conditional distribution of Z = X + Y will be different than the conditional distribution of X and Y,

Thus, E[X|X>2] + E[Y|X>2] cannot always be combined to form E[X+Y| X>2]

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
Consider two random variables, X and Y, with joint PDF fxy(x,y)=e-2|y-x^2|-x    x>=0 , y can...
Consider two random variables, X and Y, with joint PDF fxy(x,y)=e-2|y-x^2|-x    x>=0 , y can be any value fxy(x,y)=0 otherwise (1) Determine fY|X(y|x) (2)Determine E[Y|X=x]
can someone give me a brief clear explanation as to why (∃x)(∀y) P(x,y) and (∀y)(∃x)P(x,y) would...
can someone give me a brief clear explanation as to why (∃x)(∀y) P(x,y) and (∀y)(∃x)P(x,y) would have different truth values? please can you type the answer not write it in a picture.
Find a formula for a curve of the form y = e − ( x −...
Find a formula for a curve of the form y = e − ( x − a ) 2 / b for b>0 with a local maximum at x=2 and points of inflection at x=−1 and x=5
give the equation of this parametric curve in Cartesian form. x= t^2 -t , y =...
give the equation of this parametric curve in Cartesian form. x= t^2 -t , y = 5-3t , -3 <_ t <_ 4
E[X] = 2, E[X^2] = 8, E[Y] = 8, E[Y^2] = 100, and Var(X +Y) =...
E[X] = 2, E[X^2] = 8, E[Y] = 8, E[Y^2] = 100, and Var(X +Y) = 60. What is ρ(X, Y ), the correlation of X and Y
Write these equations in explicit form: x' = x^(2) - t^(2) y' = sin(y) mr' +...
Write these equations in explicit form: x' = x^(2) - t^(2) y' = sin(y) mr' + rm + e^(m+r) = 0
1. Determine a formula for the exponential function of the form y=C·b^x that passes through the...
1. Determine a formula for the exponential function of the form y=C·b^x that passes through the points (?1, 4) and (2, 256). If necessary, round the value of b to one decimal place. A) y=4·64^x B) y=4·8^x C) y=16·8^x D) y=4·84^x E) y=16·4^x
5.1.8 Determine the value of c that makes the function f(x, y) = c(x + y)...
5.1.8 Determine the value of c that makes the function f(x, y) = c(x + y) a joint probability density function over the range 0 < x < 3 and x < y < x + 2. c = (give the exact answer in the form of fraction) Determine the following. Round your answers in a-f to four decimal places. a. P(X < 1, Y < 2) = b. P(1 < X < 2) = c. P(Y > 1) =...
Write these equations in explicit form x' = x^(2) - t^(2) y' = sin(y) mr' +...
Write these equations in explicit form x' = x^(2) - t^(2) y' = sin(y) mr' + rm + e^(m+r) = 0 Thanks in advance!
Consider the function f(x,y)= (x+2*y)*e^(x-2y) for all real values (x,y). Determine the linearization to f at...
Consider the function f(x,y)= (x+2*y)*e^(x-2y) for all real values (x,y). Determine the linearization to f at the point (2,1) Use the linearization to approximate f(2.1,1.1)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Emerald Co. uses a perpetual inventory system and records purchases of merchandise at net cost. The...
    asked 53 minutes ago
  • Movie stars and U.S. presidents have fished Pyramid Lake. It is one of the best places...
    asked 1 hour ago
  • what advantages do percent distributions have over frequency distributions when comparing populations at different years?
    asked 1 hour ago
  • Richard has just been given a 6-question multiple-choice quiz in his history class. Each question has...
    asked 1 hour ago
  • Write about westernized elements in life; westernization in our life, and this includes Americanization.
    asked 2 hours ago
  • The college Physical Education Department offered an Advanced First Aid course last summer. The scores on...
    asked 2 hours ago
  • Researchers hypothesized that increasing a woman's level of arousal would increase her perceptions of attractiveness of...
    asked 3 hours ago
  • Equation 37-14b in the textbook gives the energy emitted by Hydrogen when electrons transition between states...
    asked 3 hours ago
  • Theory of Computation Please provide explanation too on how it works a. Give an NFA recognizing...
    asked 3 hours ago
  • Question 1 A sequential pattern detection circuit (state machine) has input A and output Y, which...
    asked 3 hours ago
  • Natural Foods Inc. is planning to invest in new manufacturing equipment to make a new garden...
    asked 3 hours ago
  • Explain why a callable bond's price would be expected to decline less than an otherwise comparable...
    asked 4 hours ago