Let X ~ Exponential(1). a. Find the conditional PDF and CDF of X given X > 1. b. Find E[X|X > 1]. c. Find Var(X|X > 1).
Let X ~ Exponential(1). a. Find the conditional PDF and CDF of X given X > 1. b. Find E[X|X > 1]. c. Find Var(X|X > 1).
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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![Let X ~ Exponential(1).
a. Find the conditional PDF and CDF of X given X > 1.
b. Find E[X|X > 1].
c. Find Var(X|X > 1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5362cbea-9427-4b2b-99cb-57a208edd853%2Fd3d19362-a499-41ec-afc2-eb57de34c0e2%2F9ppf6sr_processed.png&w=3840&q=75)
Transcribed Image Text:Let X ~ Exponential(1).
a. Find the conditional PDF and CDF of X given X > 1.
b. Find E[X|X > 1].
c. Find Var(X|X > 1).
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