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 .
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q6
Transcribed Image Text:QUESTION 6
A discrete random variable X has the probability function
f(x)=√k(1-x)²
0
(a)
Show that k =
Find E(X).
Given E(X²)= and Y=6-3X.
i)
Find Var (Y).
ii)
Calculate P(X<Y).
(b)
(c)
1
6
3
$
x = -1,0,1 and 2
otherwise
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