d)Probability and Statistics please providea correct and well explained solution for the following Let Y be a continuous random variable with the probability density function fy (y) = c(y² +1) if1< 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).

We have given that Probability distribution function fY(y) = c ( y2 + 1) , 0 < y < 4

Answered: Let Y be a continuous random variable…

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

Section: Chapter Questions

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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Question

Probability and Statistics

please providea correct and well explained solution for the following

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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