Let X be a continuous random variable with PDFf(x) = ²/(2-x) for-1 ≤x≤cand f(x) = 0 otherwise.(a) Explaining your work, find the value of the constant c.(b) What is P(X > 1)?(c) Calculate the expectation of X.(d) Calculate the variance of X.

It is given that X be a continuous random variable with pdf f(x) = { (2/9)(2-x), -1 ≤ x ≤ c…

Answered: f(x) = ² (2 − x) for -1 < x≤ c and f(x)…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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f(x) = ² (2 − x) for -1 < x≤ c and f(x) = 0 otherwise. (a) Explaining your work, find the value of the constant c. (b) What is P(X > 1)? (c) Calculate the expectation of X.