Marginal and Conditional Distributions

The percent of females among the respondents is part of

• the marginal distribution of females

• the marginal distribution of gender.

• the marginal distribution of opinion about marriage.

• the conditional distribution of opinion among

  adolescents of a given gender.

The National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next ten years?” Above is a two-way table of the responses by gender.

The percent of females thought that they were almost certain is part of

• the marginal distribution of gender.

• the conditional distribution of gender among adolescents with a given opinion.

• the conditional distribution of opinion among adolescents of a given gender.

• the marginal distribution of opinion about marriage.

The National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next ten years?” Above is a two-way table of the responses by gender.

What percent of females thought that they were almost certain to be married in the next ten years?

• about 16%.

• about 24%.

• about 40%.

• about 45%.

In the 2010–2011 season, the Dallas Mavericks won the NBA championship. The two-way table below displays the relationship between the outcome of each game in the regular season and whether the Mavericks scored at least 100 points. Which of the following is the best evidence that there is an association between the outcome of a game and whether or not the Mavericks scored at least 100 points?

• The Mavericks won 57 games and lost only 25 games.

• The Mavericks scored at least 100 points in 47 games and

  fewer than 100 points in only 35 games.

• The Mavericks won 43 games when scoring at least 100 points and only 14 games when scoring fewer than 100 points.

• The Mavericks won a higher proportion of games when scoring at least 100 points (43/47) than when they scored fewer than 100 points (14/35).

P( women | movies)

Mathematical Equivalence

ON

Mathematical Equivalence

ON

What fraction represents the conditional probability of P(C | F)? Do not convert your answer to a decimal. Just write the fraction.

Mathematical Equivalence

ON

Answer explanation

What fraction represents the conditional probability of P(C | F)?

===== ===== ===== =====

8 = # of Croc wearing female students

13 = # of female students

P(C | F) = 8/13

P(J | C)

Mathematical Equivalence

ON

If there is no association between gender and handedness for the members of the sample, which of the following is the correct value of x?

• 10

• 20

• 36

• 45

The National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next ten years?” Above is a two-way table of the responses by gender.

What is the percent of females among the respondents ?

• about 46%.

• about 54%.

• 2625

• 4877