6. Let X be a random variable having pdf :{ (a) (b) (d) fx(x) = A exp{-X(x-μ)} 0 Show that fx(x) is a legitimate pdf. Find the cdf of X. if x > μ, otherwise. Using the definition of E[X], find the mean of X. Find the mgf Mx (t) of X, and use it to find u.
6. Let X be a random variable having pdf :{ (a) (b) (d) fx(x) = A exp{-X(x-μ)} 0 Show that fx(x) is a legitimate pdf. Find the cdf of X. if x > μ, otherwise. Using the definition of E[X], find the mean of X. Find the mgf Mx (t) of X, and use it to find u.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![6. Let X be a random variable having pdf
fx (x) = {
(a)
(b)
(c)
(d)
A exp{-X(x-μ)}
0
Show that fx(x) is a legitimate pdf.
Find the cdf of X.
if x > μ,
otherwise.
Using the definition of E[X], find the mean of X.
Find the mgf Mx (t) of X, and use it to find u.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8e544f6-2a18-482b-a93a-098131937c98%2F23348f86-d6f4-4633-9f89-a8e704dbf2f4%2Fi7c5ib_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Let X be a random variable having pdf
fx (x) = {
(a)
(b)
(c)
(d)
A exp{-X(x-μ)}
0
Show that fx(x) is a legitimate pdf.
Find the cdf of X.
if x > μ,
otherwise.
Using the definition of E[X], find the mean of X.
Find the mgf Mx (t) of X, and use it to find u.
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