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Let X be a random variable having p.d.f. fx(x) = cx², -2 < x < 2. For the following parts, your answers should be explicit values. The constant c sh up in your solutions.

Let X be a random variable having p.d.f. fx(x) = cx², -2 < x < 2. For the following parts, your answers should be explicit values. The constant c sh up in your solutions.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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2. Let X be a random variable having p.d.f. fx(x) = cx², For the following parts, your answers should be explicit values. The constant c should not show up in your solutions. (a) Find the probability P(|X| > 1). (b) Find E(X) and Var(X). -2<x<2.
Transcribed Image Text:2. Let X be a random variable having p.d.f. fx(x) = cx², For the following parts, your answers should be explicit values. The constant c should not show up in your solutions. (a) Find the probability P(|X| > 1). (b) Find E(X) and Var(X). -2<x<2.
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