Problem #8: Suppose that a random variable X'has the following probability density function.f(x) ={C(4-x²) 0≤x≤2otherwiseProblem #8:Find the expected value of X.(You will need to find the value of the constant C so that f is a pdf.) Problem #9: Suppose that the waiting time X (in seconds) for the pedestrian signal at a particular street crossing is a randomvariable with the following pdf.Problem #9:f(x)(1-x/64)² 0

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Answered: Problem #8: Suppose that a random…

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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Problem 2 (7 Points) The amount of time in hours that a computer functions before breaking down is a continuous random variable with probability density function: f(x) = }le 100 x 20 Fourth digit of ID What is the probability that? a. A computer will function between 60 and 160 hours before breaking down? (3.5) b. It will function for fewer than 110 hours? (3.5) Third digit of ID Note: Value of A can be calculated based on S f(x)dx = 1.

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Problem #8: Suppose that a random variable X' has the following probability density function. f(x) = {C(4-x²) 0≤x≤2 o otherwise Problem #8: Find the expected value of X. (You will need to find the value of the constant C so that f is a pdf.)