Q6 QUESTION 6A discrete random variable X has the probability functionf(x)=√k(1-x)²0(a)Show that k =Find E(X).Given E(X²)= and Y=6-3X.i)Find Var (Y).ii)Calculate P(X

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Answered: QUESTION 6 A discrete random variable X…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 10E

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QUESTION 6 A discrete random variable X has the probability function (a) Show that k=- 6 (b) Find E(X). (c) Given E(X²)= and Y=6-3X. Find Var(Y). ii) Calculate P(XY). *(x) = {*(1-x)² x= -1,0,1 and 2 . otherwise .

QUESTION 6 A discrete random variable X has the probability function (a) Show that k=- 6 (b) Find E(X). (c) Given E(X²)= and Y=6-3X. Find Var(Y). ii) Calculate P(XY). (x) = {(1-x)² x= -1,0,1 and 2 . otherwise .