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For the following probability density function with b > 0: 1 ,0

For the following probability density function with b > 0: 1 ,0

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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For the following probability density function with b > 0: 1 X +5,0<x< a fx(x) = 0, elsewhere 5) Find the value of a such that fx(x) is a valid PDF. 6) Find the CDF fx(0.5). 7) Find the expectation E[X]. 8) Find the PDF of Z (fz(z)) such that Z = X2. 9) Find the variance o?. 10) If the transformation Y = X + 5. Find E[Y]. %3D
Transcribed Image Text:For the following probability density function with b > 0: 1 X +5,0<x< a fx(x) = 0, elsewhere 5) Find the value of a such that fx(x) is a valid PDF. 6) Find the CDF fx(0.5). 7) Find the expectation E[X]. 8) Find the PDF of Z (fz(z)) such that Z = X2. 9) Find the variance o?. 10) If the transformation Y = X + 5. Find E[Y]. %3D
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