a. What is the probability that the lifetime X of the first component exceeds 3? b. What are the marginal pdf's of X and Y? Are the two lifetimes independent? x. What is the probability that the lifetime of at least one component exceeds 3?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
icon
Related questions
Question
100%

a. What is the probability that the lifetime X of the first component exceeds 3?

b. What are the marginal pdf's of X and Y? Are the two lifetimes independent?

x. What is the probability that the lifetime of at least one component exceeds 3?

12. Two components of a minicomputer have the following
joint pdf for their useful lifetimes X and Y:
xe-x(1+y) x 20 and y > 0
хе
f(x, y) =
otherwise
a. What is the probability that the lifetime X of the first
component exceeds 3?
b. What are the marginal pdf's of X and Y? Are the two
lifetimes independent? Explain.
с.
What is the probability that the lifetime of at least
one component exceeds 3?
or lomnn
Tet
Transcribed Image Text:12. Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: xe-x(1+y) x 20 and y > 0 хе f(x, y) = otherwise a. What is the probability that the lifetime X of the first component exceeds 3? b. What are the marginal pdf's of X and Y? Are the two lifetimes independent? Explain. с. What is the probability that the lifetime of at least one component exceeds 3? or lomnn Tet
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
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,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax