2. Let X be a continuous random variable with density fx(x) = = { Ꮎ x1+0 for x 1, 0 otherwise, with some parameter 0 > 0. (a) Verify that fx is a proper density function. (b) Compute the cumultative distribution function Fx of X. (c) Describe how you can draw samples from the random variable X on a computer by using a uniformly distributed random variable U taking values in (0, 1). Show all your work.
2. Let X be a continuous random variable with density fx(x) = = { Ꮎ x1+0 for x 1, 0 otherwise, with some parameter 0 > 0. (a) Verify that fx is a proper density function. (b) Compute the cumultative distribution function Fx of X. (c) Describe how you can draw samples from the random variable X on a computer by using a uniformly distributed random variable U taking values in (0, 1). Show all your work.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 12CR
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you can find the questions on 2nd pic, please solve on paper
Transcribed Image Text:2.
Let X be a continuous random variable with density
fx(x) =
=
{
Ꮎ
x1+0
for x 1,
0
otherwise,
with some parameter 0 > 0.
Transcribed Image Text:(a) Verify that fx is a proper density function.
(b) Compute the cumultative distribution function Fx of X.
(c) Describe how you can draw samples from the random variable X on a computer by using
a uniformly distributed random variable U taking values in (0, 1). Show all your work.
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