(b) Let the continuous random variable X has probability density function as follows, rk(x+2)2, -2 x50 0, otherwise (i) Find the value of constant k. (ii) Find the value P(-1< x< 1)
(b) Let the continuous random variable X has probability density function as follows, rk(x+2)2, -2 x50 0, otherwise (i) Find the value of constant k. (ii) Find the value P(-1< x< 1)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Transcribed Image Text:(b)
Let the continuous random variable X has probability density function as follows,
rk(x+2)2,
-2 <x < 0
4
f(x) = { 4k,
<x<-
3
0,
otherwise
(i)
Find the value of constant k.
(ii)
Find the value P(-1< x< 1)
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