Question

Determine the mean and variance of the random variable with the probability density function f(x)=1.6(1-.8x), 0<x≤1.25

Determine the mean and variance of the random variable with the probability density function

f(x)=1.6(1-.8x), 0<x≤1.25

Math   Statistics-And-Probability   
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Answer #1

The probability density function (PDF) of X is

Now,

The mean of X is

Moreover,

Hence,

The variance of X is

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