Q1) CDF, PDF, Expectation and Variance The cumulative distribution function (CDF) of random variable Y is 0, y < -1 Fy (y) = { (y + 1)/2, -1 1. a) Find the probability density function, fy(y), of random variable Y. b) Show that f fy (y)dy= 1.
Q1) CDF, PDF, Expectation and Variance The cumulative distribution function (CDF) of random variable Y is 0, y < -1 Fy (y) = { (y + 1)/2, -1 1. a) Find the probability density function, fy(y), of random variable Y. b) Show that f fy (y)dy= 1.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![Q1) CDF, PDF, Expectation and Variance
The cumulative distribution function (CDF) of random variable Y is
y < -1
Fy (y) = { (y + 1)/2,
-1 <y<1
y > 1.
a) Find the probability density function, fy(y), of random variable Y.
b) Show that f fy (y)dy = 1.
c) What is E[Y]?
d) What is VAR[Y]?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae94b6b0-fd57-4d40-a2c4-d2bb6a6088ce%2Fd8337ce2-ff99-48a3-ae7d-958457aeffce%2Fv1o99ak_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1) CDF, PDF, Expectation and Variance
The cumulative distribution function (CDF) of random variable Y is
y < -1
Fy (y) = { (y + 1)/2,
-1 <y<1
y > 1.
a) Find the probability density function, fy(y), of random variable Y.
b) Show that f fy (y)dy = 1.
c) What is E[Y]?
d) What is VAR[Y]?
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