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Question 4.32. If Var(X+ Y1+ Y2) = 25, what is Cov(X, Yi) for i = 1, 2? %3D a. 1 b. 2 С. 3 d. 4

Question 4.32. If Var(X+ Y1+ Y2) = 25, what is Cov(X, Yi) for i = 1, 2? %3D a. 1 b. 2 С. 3 d. 4

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 4.32 please!
Question 4.29. What is E(X + Y|Z = 10)? ai teriw.0 = (S+ XY+X)v 1 a. 40 b. 45 с. 50 d. 55 de - C euo Use the following information for the next 3 questions. Suppose that we have three random variables X, Y1, and Y2. Yı and Y2are from an identical distribution and independent to each other. HE HoT ()T vilidsdong a stale Var(Yi) = 8 for i = 1, 2 OF Var(X) = 5 Question 4.30. What is Var(X + Y1) + Var(X- Y2)? 50, 3. а. 20 b. 23 C.) 26 08 or 00 08 08 d. 29 Question 4.31. If Var(aX) + Var(Y1 + Y2) = 36, what is Var(a(Y1 + Y2))?isW SD rollesu a. 16 b. 32 С. 48 d.) 64 P COA()<0 (0r6V <(X)ts Vo (S)usV<(X)76V b Question 4.32. If Var(X+ Y1+ Y2) = 25, what is Cov(X, Yi) for i = 1, 2? W S.A notesuO a. 1 b. 2 Ese- d с. 3 8.00 - 5 d. 4 2.80-b Question 4.33. Suppose that we have two random variables X and Y. Which of the following is NOT true? a. If X and Y are independent, Corr(X, Y) = 0. a181 d (b) If Corr(X, Y) = 0, X and Y are independent. c. If E(Y) = 0, Cov(X, Y) = E(XY). d. Corr(X, Y) lies between -1 and 1.
Transcribed Image Text:Question 4.29. What is E(X + Y|Z = 10)? ai teriw.0 = (S+ XY+X)v 1 a. 40 b. 45 с. 50 d. 55 de - C euo Use the following information for the next 3 questions. Suppose that we have three random variables X, Y1, and Y2. Yı and Y2are from an identical distribution and independent to each other. HE HoT ()T vilidsdong a stale Var(Yi) = 8 for i = 1, 2 OF Var(X) = 5 Question 4.30. What is Var(X + Y1) + Var(X- Y2)? 50, 3. а. 20 b. 23 C.) 26 08 or 00 08 08 d. 29 Question 4.31. If Var(aX) + Var(Y1 + Y2) = 36, what is Var(a(Y1 + Y2))?isW SD rollesu a. 16 b. 32 С. 48 d.) 64 P COA()<0 (0r6V <(X)ts Vo (S)usV<(X)76V b Question 4.32. If Var(X+ Y1+ Y2) = 25, what is Cov(X, Yi) for i = 1, 2? W S.A notesuO a. 1 b. 2 Ese- d с. 3 8.00 - 5 d. 4 2.80-b Question 4.33. Suppose that we have two random variables X and Y. Which of the following is NOT true? a. If X and Y are independent, Corr(X, Y) = 0. a181 d (b) If Corr(X, Y) = 0, X and Y are independent. c. If E(Y) = 0, Cov(X, Y) = E(XY). d. Corr(X, Y) lies between -1 and 1.
Expert Solution
Step 1

Introduction:

It is given that:

Var (X) = 5;

Var (Y­1) = 8;

Var (Y­2) = 8.

Since Y1 and Y2 are independent, Cov (Y1, Y2) = 0.

Since Y1 and Y2 are identically distributed, Cov (X, Y1) = Cov (X, Y2) = c (say).

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