For continuous random variables X and Y, prove that E(Y) = E X [E(Y|x)].

Question:

For continuous random variables X and Y, prove that E(Y) = E_X [E(Y|x)].

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Introduction To Mathematical Statistics And Its Applications

ISBN: 9780134114217

6th Edition

Authors: Richard Larsen, Morris Marx

See More Books

Question Posted: Nov 25, 2022 01:44 AM

See More Questions

For continuous random variables X and Y with joint probability density function. a. Find P(X > 1 and Y > 1). b. Find the marginal probability density functions f X (x) and f Y (y). c. Are X and Y...
Continuous random variables X and Y have joint PDF fx,y(x,y). Show that W = X-Y has PDF Use a variable substitution to show fw(w) = | fx.Y(y + tu , y) dy.
For correlated random variables X and Y it is natural to ask for the expected value for X given Y . For example, Galton calculated the expected value of the height of a son given the height of the...
Part A.: You are considering launching a strategic alliance with a competitor to join your separate skills to develop a new jointly owned technology. Both you and your partner have the option of...
Interpret the following earnings at risk data. What does it suggest regarding the banks risk exposure? Earnings- at- Risk Interest Rate Change (%) 1 Year 2 Years + 1% shock + 2.4% + 4.9% - 1% shock -...
Explain the different kinds of corporate-level strategies.
A contract is created to refurbish a luxury yacht: new color schemes, new furniture, new wall and floor coverings, new light fixtures, and window treatmentsthe whole works. Of course, it is not just...
Selected year-end financial statements of McCord Corporation follow. (All sales were on credit; selected balance sheet amounts at December 31, 2010, were inventory, $32,400; total assets, $182,400;...
Show that the two drawings represent the same graph by labeling the vertices and edges of the right-hand drawing to correspond to those of the left-hand drawing. 5 el 06 Veq 5 e2 V2 ez 3 U5 (a) es 1...
1. Categorise the range of resources and capabilities highlighted by the executives above in terms of Section 4.2 and Table 4.1. 2. To what extent and why might these resources and capabilities be...
Consider an urn with r red balls and w white balls, where r + w = N. Draw n balls in order without replacement. Show that the probability of k red balls is hypergeometric.
Suppose that f X,Y (x, y) = 3/2 (x 2 + y 2 ), 0 x 1, 0 y 1. Find Var(X + Y).
A small pizza restaurant, founded and owned by the Martinelli sisters, would be expected to have which of the following? a. High price-earnings ratio b. High inventory turnover and low gross margin...
Ethan drags his backpack on the floor by a string after a long day. He pulls with a force of 78.75N at an angle 26.17 above the horizontal. How many newtons of force is pulling the backpack upward.
Given below is a blank amortization table for the Jolie bonds. Fill in the first four columns of the table up through 12/31/06 (ie. for the first four rows). The remaining three columns and bottom...
A heavy object is dropped and reaches the floor at a velocity of 3.2 m/s. From what height was the object dropped? Use the Law of Conservation of Energy to solve.
A car traveling 84.0 km/h on a straight road is 2400'm behind a truck traveling at 60.0 km/h. How much time t will it take the car to catch up with the truck? t = S
Ethan drags his backpack on the floor by a string after a long day. He pulls with a force of 32.78N at an angle 68.48 above the horizontal. How many newtons of force is pulling the backpack forward?
An 90-m curve, g1 = 1.50%, g2 = +0.75%, VPI station = 6 + 280, VPI elevation = 550.600 m, stakeout at 10-m increments. Compute and tabulate full-station elevations for an unequal-tangent vertical...
-4 1 9. Let A = Find A-1, (A") and verify that (A")= (A-1)".
An urn contains eight red chips, six white chips, and four blue chips. A sample of size 3 is drawn without replacement. Let X denote the number of red chips in the sample and Y, the number of white...
Five cards are dealt from a standard poker deck. Let X be the number of aces received, and Y the number of kings. Compute P(X = 2|Y = 2).
Given that two discrete random variables X and Y follow the joint pdf pX,Y(x, y) = k(x + y), for x = 1, 2, 3 and y = 1, 2, 3, (a) Find k. (b) Evaluate pY|x(1) for all values of x for which px(x) > 0.
List eight parties that may be involved in a transferable confirmed irrevocable letter of credit, and define one of them.
Suppose you invested $ 3 0 0 0 0 0 at a rate of 7 % , compounded annually. How much of the total interest earned after four years is due to the initial principal, and how much is due to the...
Beth would like to include technology in a secure area of her data center to protect against unwanted electromagnetic emanations. What technology would assist her with this goal?

For continuous random variables X and Y, prove that E(Y) = E X [E(Y|x)].

Question:

Step by Step Answer:

If EY EX EYx then for each value y the probability of Y ...View the full answer

Introduction To Mathematical Statistics And Its Applications

Students also viewed these Sciences questions