The life lengths of two transistors in an electronic circuit is a random vector (X; Y ) where X is the life length of transistor 1 and Y is the life length of transistor 2. The joint probability density function of (X; Y ) is given by fx.y(x,y) = } 2e-*+2) x20, y20 else Then the probability that the first transistor burned during the first hour and a half given that the second one lasts at least half hour equals Select one: a. 0.3669 b. 0.7772 c. 0.3935 d. 0.606 e. 0.6318

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 29CR
icon
Related questions
Question
100%
The life lengths of two transistors in an electronic circuit is a random vector
(X; Y ) where X is the life length of transistor 1 and Y is the life length of
transistor 2. The joint probability density function of (X; Y ) is given by
fx.y(x,y) = } 2e-*+2) x20, y20
else
Then the probability that the first transistor burned during the first hour and a half given that the
second one lasts at least half hour equals
Select one:
a. 0.3669
b. 0.7772
c. 0.3935
d. 0.606
e. 0.6318
Transcribed Image Text:The life lengths of two transistors in an electronic circuit is a random vector (X; Y ) where X is the life length of transistor 1 and Y is the life length of transistor 2. The joint probability density function of (X; Y ) is given by fx.y(x,y) = } 2e-*+2) x20, y20 else Then the probability that the first transistor burned during the first hour and a half given that the second one lasts at least half hour equals Select one: a. 0.3669 b. 0.7772 c. 0.3935 d. 0.606 e. 0.6318
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Multivariate Distributions and Functions of Random Variables
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
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,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage