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The continuous random variable X has the pdf f(x) = { (a) Find the cdf F of X. 0 x -2 if x < 1 if x > 1. (b) Find the median of X, i.e., solve the equation F(x) = 1 2 (c) Give an example of a positive continuous random variable X such that E(X) is finite, but E(X2) is infinite. Justify your answer.

The continuous random variable X has the pdf f(x) = { (a) Find the cdf F of X. 0 x -2 if x < 1 if x > 1. (b) Find the median of X, i.e., solve the equation F(x) = 1 2 (c) Give an example of a positive continuous random variable X such that E(X) is finite, but E(X2) is infinite. Justify your answer.

MATLAB: An Introduction with Applications
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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The continuous random variable X has the pdf 0 f(x) = >= {1/-₂ -2 X (a) Find the cdf F of X. (b) Find the median of X, i.e., solve the equation F(x) if x < 1 if x > 1. = 1 2 (c) Give an example of a positive continuous random variable X such that E(X) is finite, but E(X2) is infinite. Justify your answer.
Transcribed Image Text:The continuous random variable X has the pdf 0 f(x) = >= {1/-₂ -2 X (a) Find the cdf F of X. (b) Find the median of X, i.e., solve the equation F(x) if x < 1 if x > 1. = 1 2 (c) Give an example of a positive continuous random variable X such that E(X) is finite, but E(X2) is infinite. Justify your answer.
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