Harrison is a sports statistician and is interested in the number of strikeouts by a starting pitcher over the past five years for a certain professional baseball league. He randomly selects 471 games and records the number of strikeouts by one of the starting pitchers in the game, where the pitcher for the home or visiting team is selected at random. Harrison records the total number of strikeouts by the starting pitcher in that game, x, and the probability of each value, P(x), as shown in the table provided. Find the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. Round the mean and standard deviation to three decimal places. Number of strikeouts x P(x) 0 0.016 1 0.045 2 0.059 3 0.083 4 0.098 5 0.117 6 0.130 7 0.115 8 0.100 9 0.074 10 0.047 11 0.038 12 0.034 13 0.023 14 0.013 15 0.006 16 0.002
Harrison is a sports statistician and is interested in the number of strikeouts by a starting pitcher over the past five years for a certain professional baseball league. He randomly selects 471 games and records the number of strikeouts by one of the starting pitchers in the game, where the pitcher for the home or visiting team is selected at random. Harrison records the total number of strikeouts by the starting pitcher in that game, x, and the
Number of strikeouts x P(x)
0 0.016
1 0.045
2 0.059
3 0.083
4 0.098
5 0.117
6 0.130
7 0.115
8 0.100
9 0.074
10 0.047
11 0.038
12 0.034
13 0.023
14 0.013
15 0.006
16 0.002
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