2. Define the random variable X as the proportion of voters in a certain county that approve of anew proposal,| cx (1 – x) 0 < x < 1f (x)otherwiseper where c E R is a constant.a. Find the value of c that makes this function a valid probability density function.b. Find the cumulative distribution function, F(x), of X.c. What is the probability that more than 75% (0.75) of voters approve of the new proposal ?d. What is the probability that exactly 75% of voters approve of the new proposal ?

I solved exactly first three subpart because of bartleby policy if you want more please uplode…

Answered: where c E R is a constant. a. Find the…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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where c E R is a constant. a. Find the value of c that makes this function a valid probability density function. b. Find the cumulative distribution function, F(x), of X. c. What is the probability that more than 75% (0.75) of voters approve of the new proposal ?