2. Let X be a continuous random variable with cumulative distribution function P(x) = { ₁-0 + -6x e (a) Find the density function of X. (b) Find E(e²X) and Var(e²X). if x < 0, if x ≥ 0.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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2. Let X be a continuous random variable with cumulative distribution function
{
F(x) =
(a) Find the density function of X.
(b) Find E(e2x) and Var(e2x).
-6x
if x < 0,
if x > 0.
Transcribed Image Text:2. Let X be a continuous random variable with cumulative distribution function { F(x) = (a) Find the density function of X. (b) Find E(e2x) and Var(e2x). -6x if x < 0, if x > 0.
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