Statistical Inference

Problem 1. In your pocket, you have 1 dime, 2 nickels, and 2 pennies. You select 2 coins at random
(without replacement). Let X represent the amount (in cents) that you select from your pocket.
(a) Give (explicitly) the probability mass function for X. Also show a plot of it.
(b) Give (explicitly) the cdf, F(x), for X. Also show a plot of it.
(c) How much money do you expect to draw from your pocket?