11. A continuous random variable X has the probability density functionf(x) = x³0≤x≤1= (2-x)³1≤x≤2=0otherwiseFind P(0.5 ≤ x ≤ 1.5) and mean of the distribution.

The probability density function with a random variable is,

Answered: 11. A continuous random variable X has…

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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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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11. A continuous random variable X has the probability density function f(x) = x³ 0≤x≤1 = (2-x)³ 1≤x≤2 =0 otherwise Find P(0.5 ≤ x ≤ 1.5) and mean of the distribution.