Let Y be a continuous random variable with the probabillity density function fy (Y) = c(Y" +1) if 1< y< 4 and fy(y) = 0 otherwise. (a) Find the value of c for which fy(y) is a pdf. (b) Find P(2
Let Y be a continuous random variable with the probabillity density function fy (Y) = c(Y" +1) if 1< y< 4 and fy(y) = 0 otherwise. (a) Find the value of c for which fy(y) is a pdf. (b) Find P(2
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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please providea correct and well explained solution for the following

Transcribed Image Text:Let Y be a continuous random variable with the probability density function fy (y) = c(y² +1) if
1< y< 4 and fy (y)
= 0 otherwise.
(a) Find the value of c for which fy(y) is a pdf.
(b) Find P(2 < Y < 3).
(c) Find P(2 < Y < 3).
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