Solve part C Problem 2) The random variable X has the following probability density function:fx(x) = {cxa) Find the constant c.b) Find P[0 < X ≤ 1].c) Find P[-1/2 ≤ x ≤ 1/2].d) Find the CDF Fx(x).0≤x≤2otherwise

Method By using the probability density function to find the value of c . After that we use the…

Answered: Problem 2) The random variable X has…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 30E

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Problem 2) The random variable X has the following probability density function: fx(x) = {cx a) Find the constant c. b) Find P[0 < X ≤ 1]. c) Find P[-1/2 ≤ x ≤ 1/2]. Find the CDF Fx(x). d) CX 0≤x≤2 otherwise