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...
icon
Related questions
Question

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) 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).
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).
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer