For a random variable X, the "complimentary cumulative distribution function", or the "tail function", is defined as F(x) = 1 - F(x) where F(x) is the cumulative distribution function of X. Show that the following is true when X is continuous and has a non-negative range, that is Rx = R+. E[X] = * F(x) dx Show that the following is true when X is discrete and has a non-negative range, that is Rx = Z+. E[X] = F(x)dx x=1
For a random variable X, the "complimentary cumulative distribution function", or the "tail function", is defined as F(x) = 1 - F(x) where F(x) is the cumulative distribution function of X. Show that the following is true when X is continuous and has a non-negative range, that is Rx = R+. E[X] = * F(x) dx Show that the following is true when X is discrete and has a non-negative range, that is Rx = Z+. E[X] = F(x)dx x=1
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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Please solve the problem in the image
![For a random variable X, the "complimentary cumulative distribution function", or the "tail
function", is defined as F(x) = 1 – F(x) where F(x) is the cumulative distribution function of X.
Show that the following is true when X is continuous and has a non-negative range,
that is Rx = R+.
E[X] = * F(x)dx
0
Show that the following is true when X is discrete and has a non-negative range,
that is Rx = Z+.
E[X] = [F(x)dx
x=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17c02bfb-40d8-49c0-aa5e-6c3ae15c1ca8%2F6d55a29d-9c29-4123-b838-3ae2342e52b2%2Fjmd4g28_processed.png&w=3840&q=75)
Transcribed Image Text:For a random variable X, the "complimentary cumulative distribution function", or the "tail
function", is defined as F(x) = 1 – F(x) where F(x) is the cumulative distribution function of X.
Show that the following is true when X is continuous and has a non-negative range,
that is Rx = R+.
E[X] = * F(x)dx
0
Show that the following is true when X is discrete and has a non-negative range,
that is Rx = Z+.
E[X] = [F(x)dx
x=1
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