(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)
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Chapter1: Combinatorial Analysis
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(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)
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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