Suppose X is a positive random variable (i.e. P(X ≤ 0) = 0), such that P(X>10) ≥ 0.5. a. What is the smallest possible value for E[X]? b. Give a random variable X such that P(X> 10) ≥ 0.5, and such that E[X] is equal to the value you found in a.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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Suppose X is a positive random variable (i.e. P(X ≤ 0) = 0), such that
P(X>10) ≥ 0.5.
a. What is the smallest possible value for E[X]?
b. Give a random variable X such that P(X> 10) ≥ 0.5, and such that E[X]
is equal to the value you found in a.
Transcribed Image Text:Suppose X is a positive random variable (i.e. P(X ≤ 0) = 0), such that P(X>10) ≥ 0.5. a. What is the smallest possible value for E[X]? b. Give a random variable X such that P(X> 10) ≥ 0.5, and such that E[X] is equal to the value you found in a.
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