help please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all working (a) Let X and Y be two independent random variables. Suppose that we know Var (2X-Y) 6 and Var(X+2Y) = 9. Find Var(X) and Var(Y).(b) Let X1 and X2 be independent exponential random variables with rates μ₁ and 2.Find the conditional density of X₁ given that X₁+X2=t.

(a) Let X and Y be two independent random variables. Suppose that we know Var (2X- Y) 6 and Var(X+2Y) = 9. Find Var(X) and Var(Y). (b) Let X1 and X2 be independent exponential random variables with rates μ₁ and 2. Find the conditional density of X₁ given that X₁+X2=t.

(a) Let X and Y be two independent random variables. Suppose that we know Var (2X- Y) 6 and Var(X+2Y) = 9. Find Var(X) and Var(Y). (b) Let X1 and X2 be independent exponential random variables with rates μ₁ and 2. Find the conditional density of X₁ given that X₁+X2=t.

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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