In your pocket you have 1 dime 2 nickels and 2 pennies You s

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?

Show all work and provide detailed calculations!!

Solution