Consider a random variable X with the following probability density function (PDF): 0< x≤ a fx(x) = x) = {1/3x² 0 otherwise Calculate the mean, median, and mode of this random variable.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Consider a random variable X with the following probability density function (PDF):
0< x≤ a
fx(x) =
x) = {1/3x²
0
otherwise
Calculate the mean, median, and mode of this random variable.
Transcribed Image Text:Consider a random variable X with the following probability density function (PDF): 0< x≤ a fx(x) = x) = {1/3x² 0 otherwise Calculate the mean, median, and mode of this random variable.
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