The number of goals scored at State College soccer games follows a Poisson process with a goal scoredapproximately every 18 minutes (a soccer game consists of 2 45-minute halves). What is the standarddeviation of the mean number of goals scored during a game?
A) 2.34
B) 1.58
C) 1.12
D) 1.27

Question

Quizplus · Accepted Answer

The standard deviation of the mean number of goals scored during a game is the square root of the mean number of goals scored during a game. The mean number of goals scored during a game is 2 * 18 / 60 = 1.8. Therefore, the standard deviation of the mean number of goals scored during a game is sqrt(1.8) = 1.34.

The Number of Goals Scored at State College Soccer Games