Problem 1 The probability density function for a continuous random variable X Is given. Find the expected value E(X), the variance V(X) and standard deviation COO of X. 3 4 1f 1 S x f(x) = {49 ifx _ 0 0 otheiwise Problem 3 The probability density function for a continuous random variable X Is given. Find the expected value E(X), the variance V(X) and standard deviation o(X) of X. 20(x3 x4) ifO :1 x s 1 0 othelwise a) = {