Solve random variables and their probability distributions, cumulative distribution functions, expected values of random variables. 1. The orders from n = 100 customers for wooden panels of various thickness (X) are summarized as follows: Wooden Panel Thickness (X, inches) 1/8 1/4 " 3/8 " No of customer orders 20 70 10 Let X denote the panel thickness in inches. Determine the probability mass function of X and plot f(x). 2. In problem 1, the following probabilities have been calculated: P(x = 1/8) = 0.2, P(x = 1/4) = 0.7, and P(x = 3/8) = 0.1. Determine the cumulative distribution function of X and plot F(x)