Using the McGraw-Hill Dataset in the Excel file, located
here, complete the following tasks:
Task#1: Compute the mean number of home runs per game. To do
this, first find the mean number of home runs per team. Next,
divide this value by 162 (a season comprises 162 games); then
multiply by 2 because there are two teams in each game. Use the
Poisson distribution to estimate the number of home runs that will
be hit in a game. Find the probability:
1) There are no home runs in a game.
2) There are two home runs in a game.
3) There are at least 4 home runs in a game.
Task #2
1) The mean attendance per team for the season was 2.439
million, with a standard deviation of 0.618 million. Use the normal
distribution to estimate the number of teams with attendance of
more than 3.5 million. Compare that estimate with the actual
number. Comment on the accuracy of your estimate.
2) The mean team salary was $121 million, with a standard
deviation of $40.0 million. Use the normal distribution to estimate
the number of teams with a team salary of more than $100 million.
Compare that estimate with the actual number. Comment on the
accuracy of your estimate.
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