In Problem 2.2.5, find and sketch the CDF of Y, the number of points scored in a 1 and 1 for p = 1/4, p = 1/2, and p = 3/4.
Problem 2.2.5
In college basketball, when a player is fouled while not in the act of shooting and the opposing team is "in the penalty," the player is awarded a "1 and 1." In the 1 and 1, the player is awarded one free throw and if that free throw goes in the player is awarded a second free throw. Find the PMF of Y, the number of points scored in a 1 and 1 given that any free throw goes in with probability p, independent of any other free throw.