The following emprical equation is derived for the solution of an engineering problem: Z = X Y^2 √ W where: X : Uniformly distributed between 2.0 and 4.0, Y: Normally distributed with median 1.0 and Pr(Y ≤ 2.0) = 0.9207, W: Exponentially distributed with a median of 1.0, and X, Y and W are statistically independent.
a) Compute the mean values, variances and coefficients of variation of X, Y and W, respectively.
b) Compute the mean, standard deviation and coefficient...