Show that if X and Y are independent, then E[X| Y = y] = E[X] for all
Question:
Show that if X and Y are independent, then
E[X| Y = y] = E[X] for all y
a. In the discrete case;
b. In the continuous case.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (8 reviews)
a In the discrete case let X and Y be two independent random v...View the full answer
Answered By
Ravi Tomar
I have 5 years of experience as an Agricultural Economics tutor. During this time, I have been able to successfully provide guidance to students in their studies and help them develop their knowledge and understanding of the subject. My approach to teaching has always been to combine academic learning with practical application, often drawing on my professional experience to help students better understand how the concepts they learn apply to the real world. I also focus on helping students develop critical thinking skills, enabling them to tackle problems independently and develop their own solutions. I have also been able to provide support on specific assignments, helping students to structure their work and ensure that it meets the required quality and standards.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
If X and Y are independent continuous positive random variables, express the density function of (a) Z = X/Y and (b) Z = XY in terms of the density functions of X and Y. Evaluate the density...
-
If X and Y are independent and identically distributed uniform random variables on (0, 1), compute the joint density of U = X + Y, V = X/Y
-
If X and Y are independent and chi-square distributed random variables with n1 and n2 degrees of freedom, respectively. Obtain the joint distribution of (U, V), where U = X + Y and V = X / Y.
-
Following is the condensed balance sheet of Martinez, O'Neill and Clemens, partners who share profits or losses in the ratio of 2 : 3 : 5. Cash $50,000 Liabilities $200,000 Other assets 1,050,000...
-
Assign oxidation numbers to the atoms in each substance. a. Lithium hydride (LiH) b. Potassium peroxide (K2O2) c. Potassium fluoride (KF)
-
Use the financial data for Simplon Merchandising, Inc., in Exercise 13-12 to prepare its income statement for calendar year 2009. (Ignore the earnings per share section.)
-
6. Sun Corporation regularly sells inventory items to its parent, Pam Corporation. In preparing the consolidated income statement, which of the following items would not be affected by the direction...
-
On January 1, 2016, the Wardens Restaurant decides to invest in Lake Turner bonds. The bonds mature on December 31, 2030, and pay interest on June 30 and December 31 at 5% annually. The market rate...
-
Record the following transactions 1 . Sales to customers totaled $ 2 million, of which $ 1 . 6 million was on credit, and the remainder was cash sales. The cost of goods sold totaled $ 8 0 0 , 0 0 0...
-
Barrett Chemicals manufactures four chemicals, Chem-1, Chem-2, Chem-3, and Chem-4, from a joint process. The total joint costs in May were $564,000. Additional information follows: Required Barrett...
-
Prove that [E(g(X)Y|X] = g(X)E[Y|X].
-
Prove the CauchySchwarz inequality, namely, (E[XY]) 2 E[X 2 ] E[Y 2 ]
-
Devise a synthesis of butanoic acid (CH3CH2CH2CO2H) from 1-propanol (CH3CH2CH2OH).
-
Show that the scalar $K$, which, according to Eq. (5.366), is constructed from the extrinsic curvature as $K=g^{\mu v} K_{\mu u}$, is equal to the covariant divergence of the normal vector field,...
-
An aircraft is in flight, and its \(\mathrm{TAS}=220 \mathrm{~m} / \mathrm{s}\). The ambient temperature is \(T=253 \mathrm{~K}\). What is the stagnation temperature on its leading edge?
-
A diver's watch resists an absolute pressure of 5.5 bar. At an ocean having density of \(1025 \mathrm{~kg} / \mathrm{m}^{3}\) and exposing an atmospheric pressure of \(1 \mathrm{bar}\), what depth...
-
Estimate TAS if an aircraft is at ALT \(=9500 \mathrm{~m}\) and its Mach number \(M\) is 0.5 .
-
The Mach number of an aircraft is \(M=0.9\), and the local temperature is \(T=-10^{\circ} \mathrm{C}\). What is its airspeed?
-
Firm K has a margin of 9%, turnover of 1.6, and sales of $4,000,000. Required: Calculate Firm Ks net income, average total assets, and return on investment (ROI).
-
The following information is for Montreal Gloves Inc. for the year 2020: Manufacturing costs Number of gloves manufactured Beginning inventory $ 3,016,700 311,000 pairs 0 pairs Sales in 2020 were...
-
Consider a sample of size 3 drawn in the following manner: We start with an urn containing 5 white and 7 red balls. At each stage, a ball is drawn and its color is noted. The ball is then returned to...
-
A deck of cards is shuffled and then divided into two halves of 26 cards each. A card is drawn from one of the halves; it turns out to be an ace. The ace is then placed in the second half-deck. The...
-
There are 3 coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 75 percent of the time. When one of the 3 coins is selected at random...
-
What is the present value of $500 invested each year for 10 years at a rate of 5%?
-
GL1203 - Based on Problem 12-6A Golden Company LO P2, P3 Golden Corp.'s current year income statement, comparative balance sheets, and additional information follow. For the year, (1) all sales are...
-
A project with an initial cost of $27,950 is expected to generate cash flows of $6,800, $8,900, $9,200, $8,100, and $7,600 over each of the next five years, respectively. What is the project's...
Study smarter with the SolutionInn App