5. Let X - a random variable with cumulative distribution function0, x<-11, x21Fx(x) = {(1+x)?2-10,25?c). What is the mean of X?d). What is the variance and standard deviation of X?e). Find the probability density function.

e) The probability density function is calculated as: As we can see, x takes values only in the…

5. Let X – a random variable with cumulative distribution function 0, xs-1 1, x21 Fx(x) = {(1+x)? 2 -1< x<0 . (1–x)² 0 < x<1 2 a). What is the probability that X>0,25? c). What is the mean of X? d). What is the variance and standard deviation of X? e). Find the probability density function.

5. Let X – a random variable with cumulative distribution function 0, xs-1 1, x21 Fx(x) = {(1+x)? 2 -1< x<0 . (1–x)² 0 < x<1 2 a). What is the probability that X>0,25? c). What is the mean of X? d). What is the variance and standard deviation of X? e). Find the probability density function.

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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Estimation

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Question

5. Let X - a random variable with cumulative distribution function
0, x<-1
1, x21
Fx(x) = {(1+x)?
2
-1<x<0
(1-x)²
1-
0 <x<1
a). What is the probability that X>0,25?
c). What is the mean of X?
d). What is the variance and standard deviation of X?
e). Find the probability density function.

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