1. Suppose that X is a random variable with density function fx(x) and ImX = (0,1), and suppose that Y = 2e*. %3D Which of the following equations describes the relationship between the density function fy(y) for Y and the density function of fx(x): (a) fy(y) = 2e♥ fx(2e") for 2 < y < 2e. (b) fy(y) = fx(ln(%))· for 2 < y < 2e. (c) fy(y) = fx(In(%)) · † for 2 < y < 2e. (d) fy(y)= fx(G) for 2 < y < 2e.
1. Suppose that X is a random variable with density function fx(x) and ImX = (0,1), and suppose that Y = 2e*. %3D Which of the following equations describes the relationship between the density function fy(y) for Y and the density function of fx(x): (a) fy(y) = 2e♥ fx(2e") for 2 < y < 2e. (b) fy(y) = fx(ln(%))· for 2 < y < 2e. (c) fy(y) = fx(In(%)) · † for 2 < y < 2e. (d) fy(y)= fx(G) for 2 < y < 2e.
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Consider the following question and choose the correct answer:
a
b
c
d
![1. Suppose that X is a random variable with density function fx(x) and
ImX = (0, 1), and suppose that Y = 2ex.
Which of the following equations describes the relationship between the
density function fy(y) for Y and the density function of fx(x):
(a) fy(y) = 2e fx(2e") for 2 < y< 2e.
(b) fy(y) = fx (In(불))·긁 for 2 < y < 2e.
2y
(c) fy(y) = fx(ln( ))·¿ for 2 < y < 2e.
(d) fv(y) = 을 fx(을) for 2 < y < 2e.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b7f0249-62bd-4daa-aff9-56ee7c4d29e5%2F251f71ec-2086-4572-abce-819e9a7378de%2Fg5yyaog_processed.png&w=3840&q=75)
Transcribed Image Text:1. Suppose that X is a random variable with density function fx(x) and
ImX = (0, 1), and suppose that Y = 2ex.
Which of the following equations describes the relationship between the
density function fy(y) for Y and the density function of fx(x):
(a) fy(y) = 2e fx(2e") for 2 < y< 2e.
(b) fy(y) = fx (In(불))·긁 for 2 < y < 2e.
2y
(c) fy(y) = fx(ln( ))·¿ for 2 < y < 2e.
(d) fv(y) = 을 fx(을) for 2 < y < 2e.
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