SOLUTION: A lacrosse team has been in its premier league for the last 47 seasons. During this time they have a mean number of wins of 17.3 and a standard deviation of 2.2 wins. [2] a) What

Algebra ->  Probability-and-statistics -> SOLUTION: A lacrosse team has been in its premier league for the last 47 seasons. During this time they have a mean number of wins of 17.3 and a standard deviation of 2.2 wins. [2] a) What       Log On


   



Question 1121536: A lacrosse team has been in its premier league for the last 47 seasons. During this time they have a mean number of wins of 17.3 and a standard deviation of 2.2 wins.
[2] a) What is the probability of the lacrosse team getting 21 wins in the upcoming season?
[3] b) What is the probability of the lacrosse team getting between 15 and 18 wins?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Between 15 and 18 wins is a z of (15-17.3)/2.2 and a z of (18-17.3)/2.2
this is a z from -1.045 to 0.32. That probability is 0.4775
For 21 or more than 21 wins would be a z of (21-17.3/2.2 or 1.68
probability z is greater than that is 0.0237
One cannot use the Gaussian distribution to determine exactly 21 wins, since it is continuous and each point is infinitesimally small. One would need a probability of winning each game, if it were independent (not likely) and use a binomial distribution.