(a) Let Z = vX. Show that the density function of Z is given by %3| (-). fz(z) = 2a exp z > 0.
(a) Let Z = vX. Show that the density function of Z is given by %3| (-). fz(z) = 2a exp z > 0.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![2. Let X be a Chi-squared random variable with density function
fx(x) = exp (-;),
a
x > 0.
Suppose Y is independent of, and has the same distribution as, X.
(a) Let Z = VX. Show that the density function of Z is given by
Sale) = 2a exp (-)
z > 0.
Hence state the value of a.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89999264-dfa0-450a-8ae0-b974499dc2a7%2F6bd55c96-312e-443d-b844-ad85f791c9cb%2Fq615i0f_processed.png&w=3840&q=75)
Transcribed Image Text:2. Let X be a Chi-squared random variable with density function
fx(x) = exp (-;),
a
x > 0.
Suppose Y is independent of, and has the same distribution as, X.
(a) Let Z = VX. Show that the density function of Z is given by
Sale) = 2a exp (-)
z > 0.
Hence state the value of a.
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