3.4 Contingency Tables

Using the table, calculate the following probabilities:

1. Find P(Person uses a cell phone while driving).
2. Find P(Person had no violation in the last year).
3. Find P(Person had no violation in the last year and uses a cell phone while driving).
4. Find P(Person uses a cell phone while driving or person had no violation in the last year).
5. Find P(Person uses a cell phone while driving given person had a vio…

the table shows the number of athletes who stretch before exercising and how many had injuries within the past year.

1. What is P(Athlete stretches before exercising)?
2. What is P(Athlete stretches before exercising|no injury in the last year)?

a. Complete the table.

b. Are the events being female and preferring the coastline independent events?

Let F = being female and let C = preferring the coastline.

1. Find P(F AND C).
2. Find P(F)P(C).

Are these two numbers the same? If they are, then F and C are independent. If they are not, then F and C are not independent.

c. Find the probability that a person is male given that the person prefers hiking near lakes and streams. Let M = being male, and let L = prefers hiking near lakes and streams.

1. What word tells you this is a conditional?
2. Is the sample space for this problem all 100 hikers? If not, what is it?
3. Fill in the blanks and calculate the probability: P(_____|_____) = _____.

d. Find the probability that a person is female or prefers hiking on mountain peaks. Let F = being female, and let P = prefers mountain peaks.

1. Find P(F).
2. Find P(P).
3. Find P(F AND P).
4. Find P(F OR P).

the table shows a random sample of 200 cyclists and the routes they prefer. Let M = males and H = hilly path.

1. Out of the males, what is the probability that the cyclist prefers a hilly path?
2. Are the events being male and preferring the hilly path independent events?

Verify the remaining entries.

a. Complete the probability contingency table. Calculate the entries for the totals. Verify that the lower-right corner entry is 1.

Verify the remaining entries.

b. What is the probability that Alissa does not catch Muddy?

Verify the remaining entries.

c. What is the probability that Muddy chooses Door One OR Door Two given that Muddy is caught by Alissa?

TOTAL each column and each row. Total data = 4,520.7.

1. Find P(2009 AND Crime A).
2. Find P(2010 AND Crime B).
3. Find P(2010 OR Crime B).
4. Find P(2011|Crime A).
5. Find P(Crime D|2008).

the table relates the weights and heights of a group of individuals participating in an observational study.

1. Find the total for each row and column.
2. Find the probability that a randomly chosen individual from this group is tall.
3. Find the probability that a randomly chosen individual from this group is Under 18 and tall.
4. Find the probability that a randomly chosen individual from this group is tall…

Find P(musician is a male AND had private instruction).

Are the events being a female musician and learning music in school mutually exclusive events?

Use the following information to answer the next seven exercises. An article in the New England Journal of Medicine, reported about a study of people who use a product in California and Hawaii. In one part of the report, the self-reported ethnicity and using the product levels per day were given. Of the people using the product at most 10 times a day, there were 9,886 African Americans, 2,745 Nati…

Use the following information to answer the next seven exercises. An article in the New England Journal of Medicine, reported about a study of people who use a product in California and Hawaii. In one part of the report, the self-reported ethnicity and using the product levels per day were given. Of the people using the product at most 10 times a day, there were 9,886 African Americans, 2,745 Nati…

Use the following information to answer the next seven exercises. An article in the New England Journal of Medicine, reported about a study of people who use a product in California and Hawaii. In one part of the report, the self-reported ethnicity and using the product levels per day were given. Of the people using the product at most 10 times a day, there were 9,886 African Americans, 2,745 Nati…

Use the information in the the table to answer the next eight exercises. The table shows the political party affiliation of each of 67 members of the U.S. Senate in June 2012, and when they would next be up for reelection.

What is the probability that a randomly selected senator had an Other affiliation?

Use the information in the the table to answer the next eight exercises. The table shows the political party affiliation of each of 67 members of the U.S. Senate in June 2012, and when they would next be up for reelection.

What is the probability that a randomly selected senator was a Democrat and was up for reelection in November 2016?

Use the information in the the table to answer the next eight exercises. The table shows the political party affiliation of each of 67 members of the U.S. Senate in June 2012, and when they would next be up for reelection.

Suppose that a member of the U.S. Senate is randomly selected. Given that the randomly selected senator was up for reelection in November 2016, what is the probability that th…

Use the information in the the table to answer the next eight exercises. The table shows the political party affiliation of each of 67 members of the U.S. Senate in June 2012, and when they would next be up for reelection.

The events Republican and Up for reelection in 2016 are ________.

1. mutually exclusive
2. independent
3. both mutually exclusive and independent
4. neither mutually exclusive nor indepe…

Find P(Hit was made by Ty Cobb|The hit was a Home Run).

1. $\frac{4,189}{12,351}$
2. $\frac{114}{1,720}$
3. $\frac{1,720}{4,189}$
4. $\frac{114}{12,351}$

In a previous year, the weights of the members of a California football team and a Texas football team were published in a newspaper. The factual data were compiled into the following table. The weights in the column headings are in pounds.

For the following, suppose that you randomly select one player from the California team or the Texas team.

1. Find the probability that his shirt number is from…