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]?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
icon
Related questions
Question

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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning