7. Suppose a and b are positive integers with a < b. Let random variable X take on the value of a power of 2 in the range [2ª, 2°] where each power of 2 has equal probability. What is E[X]?

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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7.
Suppose a and b are positive integers with a < b. Let random variable X
take on the value of a power of 2 in the range [2", 20] where each power of 2 has equal
probability. What is E[X]?
Transcribed Image Text:7. Suppose a and b are positive integers with a < b. Let random variable X take on the value of a power of 2 in the range [2", 20] where each power of 2 has equal probability. What is E[X]?
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