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Question Let the continuous random variable X have, for a parameter a > 0, probability density function Sxlt=) = {o S ar-(a+1), if x21, 0, otherwise. Find a and E(X).

Question Let the continuous random variable X have, for a parameter a > 0, probability density function Sxlt=) = {o S ar-(a+1), if x21, 0, otherwise. Find a and E(X).

A First Course in Probability (10th Edition)
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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Question Let the continuous random variable X have, for a parameter a > 0, probability density function ar-(a+1), if x > 1, Sx le) = {0, otherwise. Find a and E(X). Now let 0.7007, 0.4749, 0.5547, 0.0163 and 0.5669 be five random numbers taken from a continuous uniform distribution over the interval (0,1]. Use these numbers to simulate five random numbers for the random variable X for a = 2.
Transcribed Image Text:Question Let the continuous random variable X have, for a parameter a > 0, probability density function ar-(a+1), if x > 1, Sx le) = {0, otherwise. Find a and E(X). Now let 0.7007, 0.4749, 0.5547, 0.0163 and 0.5669 be five random numbers taken from a continuous uniform distribution over the interval (0,1]. Use these numbers to simulate five random numbers for the random variable X for a = 2.
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