Let X ~ Exp(2). Find a real number a E [0, 1] such that the events {X € [0, 1]} and {X € [a, 2]} are independent.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 ~ Exp(2). Find a real number a E (0, 1] such that the events {X € [0, 1]} and
{X € [a, 2]} are independent.
Transcribed Image Text:Let X ~ Exp(2). Find a real number a E (0, 1] such that the events {X € [0, 1]} and {X € [a, 2]} are independent.
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