Chapter 9.1, Problem 33E

Baseball A baseball fan examined the record of a favorite baseball player’s performance during his last season. The numbers of games in which the player had zero, one, two, three, and four hits are recorded in the table shown below.

Number of hits	0	1	2	3	4
Frequency	31	58	45	19	5

(a) Complete the table below, where x is the number of hits.

x	0	1	2	3	4
P(x)

(b) Use the table in part (a) to sketch the graph of the probability distribution.

(c) Use the table in part (a) to find $P(1\le x\le 3)$.

(d) Determine the mean and interpret the result in the context of the problem.

(e) Determine the variance and standard deviation.