The probability that a football game will go into overtime is 15%. In 260 randomly selected football games,what is the mean and the standard deviation of the number that went into overtime?
A) mean: 39; standard deviation: 5.75760367
B) mean: 39; standard deviation: 6.244998
C) mean: 36.4; standard deviation: 5.75760367
D) mean: 36.4; standard deviation: 6.244998

Question

Quizplus · Accepted Answer

The mean is calculated as 260 games * 15% = 39 games. The standard deviation is calculated using the formula for the standard deviation of a binomial distribution, which is sqrt(n*p*(1-p)) = sqrt(260*0.15*0.85) ≈ 5.75760367.

The Probability That a Football Game Will Go into Overtime