No Chatgpt please 2. A random variable X is uniformly distributed in the interval(-3, 3). The random variable Y = g(X) and the function isillustrated below12y = g(x)°a. Find and sketch the CDF and the pdf of Y. What kind of aR.V. is Y?b. Find E(Y) and VAR(Y). Note: You can solve this part beforepart "a"

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Answered: 2. A random variable X is uniformly…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 92E

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2. A random variable X is uniformly distributed in the interval (-3, 3). The random variable Y = g(X) and the function is illustrated below 1 2 y = g(x) ° a. Find and sketch the CDF and the pdf of Y. What kind of a R.V. is Y? b. Find E(Y) and VAR(Y). Note: You can solve this part before part "a"