Y is an exponential random variable with parameter 1 = 0.2. Given the event A = {Y < 2}, a. What is the conditional PDF, fy|a(y)? b. Find the conditional expected value E[Y|A]?
Y is an exponential random variable with parameter 1 = 0.2. Given the event A = {Y < 2}, a. What is the conditional PDF, fy|a(y)? b. Find the conditional expected value E[Y|A]?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Correct answer/s are provided, write legibly.
![Y is an exponential random variable with parameter 1 =
0.2. Given the event A = {Y < 2},
%3D
a. What is the conditional PDF, fy|A(y)?
b. Find the conditional expected value E[Y|A]?
Ans. A) fyja(y) = ÷ 5 (0 < y< 2); 0 otherwise B) E[T] = 0.9335
1 e-y/5
51-e-2/5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7927ac51-8f27-4fa4-9470-6373daf1fa35%2F83dd06b2-efe2-4a8d-b370-953b72ff8476%2Fr7eqm_processed.png&w=3840&q=75)
Transcribed Image Text:Y is an exponential random variable with parameter 1 =
0.2. Given the event A = {Y < 2},
%3D
a. What is the conditional PDF, fy|A(y)?
b. Find the conditional expected value E[Y|A]?
Ans. A) fyja(y) = ÷ 5 (0 < y< 2); 0 otherwise B) E[T] = 0.9335
1 e-y/5
51-e-2/5
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