# Probability distribution for baseball data

Refer to the Baseball 2005 data, which reports information on the 30 major league teams for the 2005 baseball season. www.baseball1.com/statistics/

a. Select the variable team salary and find the mean, median, and the standard deviation.

= Mean =

X Median =

s = Standard Deviation =

Median =

b. Select the variable that refers to the age the stadium was built. (Hint: Subtract the year in which the stadium was built from the current year to find the stadium age and work with that variable.) Find the mean, median, and the standard deviation.

n = Mean =

X Median =

s = Standard Deviation =

Median =

c. Select the variable that refers to the seating capacity of the stadium. Find the mean, median, and the standard deviation.

n = Mean =

X Median =

s = Standard Deviation =

Median =

Assume the likelihood that any flight on Northwest Airlines arrives within 15 minutes of the scheduled time is .90. We select four flights from yesterday for study.

a. What is the likelihood all four of the selected flights arrived within 15 minutes of the scheduled time?

Let E denotes

A:

A':

Given that P (A) = P(A') =

P(E І A) = P(E І A') =

We need P(A І E ) from bays Theorem

P(A)P(E І A ) = P(A І E ) = P(A)P(E І A ) + P(A')P(E І A')

b. What is the likelihood that none of the selected flights arrived within 15 minutes of the scheduled time?

Let E denotes

A:

A':

Given that P (A) = P(A') =

P(E І A) = P(E І A') =

We need P(A І E ) from bays Theorem

P(A)P(E І A ) = =

P(A І E ) = P(A)P(E І A ) + P(A')P(E І A')

c. What is the likelihood at least one of the selected flights did not arrive within 15 minutes of the scheduled time?

Let E denotes

A:

A':

Given that P (A) = P(A') =

P(E І A) = P(E І A') =

We need P(A І E ) from bays Theorem

P(A)P(E І A ) = =

P(A І E ) = P(A)P(E І A ) + P(A')P(E І A')

#### Solution Summary

The solution provides step by step method for the calculation of probability and descriptive statistics for baseball data . Formula for the calculation and Interpretations of the results are also included.