Suppose that X is the length of time (in minutes) that a customer queues in a bank. The probability density function of X is given by (36–x²) 144 0 < x < 6, fx(x) = otherwise. find E(X), the cxpocted value of Xand interpret this result. Find Fx(x), the cumulative distribution function of X.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Probability.

Suppose that X is the length of time (in minutes) that a customer queues
in a bank. The probability density function of X is given by
(36–a²)
144
0 < x < 6,
fx(x) =
otherwise.
Find D(
the expected vatre of X and interpret this result.
Find Fx(x), the cumulative distribution function of X.
Transcribed Image Text:Suppose that X is the length of time (in minutes) that a customer queues in a bank. The probability density function of X is given by (36–a²) 144 0 < x < 6, fx(x) = otherwise. Find D( the expected vatre of X and interpret this result. Find Fx(x), the cumulative distribution function of X.
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