life lengths of two transistors in an ele uit is a random vector Y ) where X is the life length of transist he life length of sistor 2. The joint probability density fu Y ) is given by 2e-(x+2y) X 20, y 20 Xx,v)= else n the probability that the first transisto st half hour given that the second one la = hour equals ect one: a. 0.3669 b. 0.3935 c. 0.7772 d. 0.6318 e. 0.606

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
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
| 2e-(x+2y)
x 2 0, y 20
fx,y(x,y) =
fx.MX.v)
else
Then the probability that the first transistor last for at
least half hour given that the second one lasts at least
half hour equals
Select one:
a. 0.3669
b. 0.3935
c. 0.7772
d. 0.6318
e. 0.606
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 | 2e-(x+2y) x 2 0, y 20 fx,y(x,y) = fx.MX.v) else Then the probability that the first transistor last for at least half hour given that the second one lasts at least half hour equals Select one: a. 0.3669 b. 0.3935 c. 0.7772 d. 0.6318 e. 0.606
Expert Solution
steps

Step by step

Solved in 5 steps with 4 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.
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