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Let X be the random variable with probability density function f(x) = 0.5x for 0 ≤...

Let X be the random variable with probability density function f(x) = 0.5x for 0 ≤ x  ≤ 2 and zero otherwise. Find the mean and standard deviation of the random variable X.

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Answer #1

mean(E(X)) =

                  

                   = 1.33

E(X^2) =

         

          = 2

Variance = E(X^2) - (E(X))^2

              = 2 - (1.33)^2

              = 0.2311

Standard deviation = = 0.4807

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