Answer: Refer to the Baseball 2008 data, which reports

Basic Statistics for Business and Economics | 7th Edition | ISBN: 9780077384470 | Authors: Douglas Lind; William Marchal; Samuel Wathen

ISBN: 9780077384470 64

Solution for problem 83E Chapter 5

Basic Statistics for Business and Economics | 7th Edition

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Problem 83E

Refer to the Baseball 2008 data, which reports information on the 30 Major League Baseball teams for the 2008 season. Set up a variable that divides the teams into two groups, those that had a winning season and those that did not. That is, create a variable to count the teams that won 81 games or more, and those that won 80 or less. Next create a new variable for attendance, using three categories: attendance less than 2.0 million, attendance of 2,0 million up to 3.0 million, and attendance of 3.0 million or more.

a. Create a table that shows the number of teams with a winning season versus those with a losing season by the three categories of attendance. If a team is selected at random, compute the following probabilities:

1. Having a winning season.

2. Having a winning season or attendance of more than 3.0 million.

3. Given attendance of more than 3.0 million, having a winning season.

4. Having a losing season and drawing less than 2.0 million.

b. Create a table that shows the number of teams that play on artificial surfaces and natural surfaces by winning and losing records. If a team is selected at random, compute the following probabilities:

1. Selecting a team with a home field that has a natural surface.

2. Is the likelihood of selecting a team with a winning record larger for teams with natural or artificial surfaces?

3. Having a winning record or playing on an artificial surface.

Step-by-Step Solution:

Answer:

Step 1 of 2:

(a)

We are asked to create a table that shows the number of teams with a winning season versus those with a losing season by the three categories of attendance.

From the given data we can create a table that shows the number of teams with a winning season versus those with a losing season by the three categories of attendance.

Team Result	Attendance (in million)
Team Result	$<2.00$	$2.00\ up\ to\ 3.00$	$3.00\ or\ more$	Total
Winning	6	8	4	18
Losing	5	6	1	12
Total	11	14	5	30

If a team is selected at random, compute the following probabilities:

Having a winning season.

From the above table, we can see that the team has won total 18 games out of 30.

The probability

$P(Win)\ =\frac{18}{30}=0.60$

Having a winning season or attendance of more than $3.0$ million.

We need to find $P(win\ or\ 3.0).$

Using addition theorem of probability, we can write,

$P(A\cup{}B)=P(A)+P(B)-P(A\cap{}B)$

$P(win\ or\ 3.0)=P(win)+P(3.0\ million\ attendance)-P(win\ \cap{}3.0)$

From the table, we can find the numbers,

$P(win\ or\ 3.0)=\frac{18}{30}+\frac{5}{30}-\frac{4}{30}=0.6334$

Given attendance of more than $3.0$ million, having a winning season.

We need to find $P(win\ |\ attendance\ of\ more\ than\ 3.0\ million).$

We know the conditional probability,

$P(A\ |\ B)=\frac{P(A\cap{}B)}{P(B)}$

Hence we can write from the table,

$P(win\ |>3.0\ million)=\frac{\frac{4}{30}}{\frac{5}{30}}=\frac{4}{5}$

Having a losing season and drawing less than 2.0 million.

We need to find $P(losing\ and\ drawing\ less\ than\ 2.0\ million).$

We can write from the table,

$P(losing\ and\ <2.0\ million)=\frac{5}{30}$

Step 2 of 2

Chapter 5, Problem 83E is Solved

Textbook: Basic Statistics for Business and Economics

Edition: 7

Author: Douglas Lind; William Marchal; Samuel Wathen

ISBN: 9780077384470

Basic Statistics for Business and Economics was written by and is associated to the ISBN: 9780077384470. This textbook survival guide was created for the textbook: Basic Statistics for Business and Economics , edition: 7. This full solution covers the following key subjects: season, Winning, million, Attendance, teams. This expansive textbook survival guide covers 6 chapters, and 325 solutions. The full step-by-step solution to problem: 83E from chapter: 5 was answered by , our top Business solution expert on 08/23/17, 08:36AM. Since the solution to 83E from 5 chapter was answered, more than 293 students have viewed the full step-by-step answer. The answer to “?Refer to the Baseball 2008 data, which reports information on the 30 Major League Baseball teams for the 2008 season. Set up a variable that divides the teams into two groups, those that had a winning season and those that did not. That is, create a variable to count the teams that won 81 games or more, and those that won 80 or less. Next create a new variable for attendance, using three categories: attendance less than 2.0 million, attendance of 2,0 million up to 3.0 million, and attendance of 3.0 million or more.a. Create a table that shows the number of teams with a winning season versus those with a losing season by the three categories of attendance. If a team is selected at random, compute the following probabilities:1. Having a winning season.2. Having a winning season or attendance of more than 3.0 million.3. Given attendance of more than 3.0 million, having a winning season.4. Having a losing season and drawing less than 2.0 million.b. Create a table that shows the number of teams that play on artificial surfaces and natural surfaces by winning and losing records. If a team is selected at random, compute the following probabilities:1. Selecting a team with a home field that has a natural surface.2. Is the likelihood of selecting a team with a winning record larger for teams with natural or artificial surfaces?3. Having a winning record or playing on an artificial surface.” is broken down into a number of easy to follow steps, and 240 words.