5.2-11 – Introductory Statistics – Sheldon M. Ross

Question:

Whenever a certain college basketball player goes to the foul line for two shots, he makes his first shot with probability 0.75. If he makes the first shot, then he makes the second shot with probability 0.80; if he misses the first shot, then he makes the second one with probability 0.70. Let X denote the number of shots he makes when he goes to the foul line for two shots. Find the probability distribution of X.

Solution:

Let X = the number of shots he makes when the college basketball player goes to the foul line for two shots

X	P (X)
0	0.075
1	0.325
2	0.600
	1.000