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).-6xif x < 0,if x > 0.

The CDF of random variable X is given as: F(x)=1-e-6x ; x>00 otherwsie…

Answered: 2. Let X be a continuous random…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.