Marginal and Conditional Distributions

A veterinarian collected data about the kinds and sources of pets from his clients.  Here is some of the data:

The graph of which distribution is shown?

• The conditional distribution of pet source for dogs

• This is the marginal distribution of kind of pet (dog or cat)

• The marginal distribution of pet source

• The conditional distribution of kind of pet for each pet source.

Jonathan has been recording his outcomes for three games that he has played this summer. Here is his data:

The graph of which distribution is shown?

• The marginal distribution of game played

• The conditional distribution of outcome for games played of mancala

• The conditional distributions of game played for losses

• The marginal distribution of outcome.

Which of the following would be most appropriate type of graph for these data?

• A bar chart showing the marginal distribution of opinion about marriage.

• A bar chart showing the marginal distribution of gender.

• A bar chart showing the conditional distribution of gender for each opinion about marriage.

• A bar chart showing the conditional distribution of opinion about marriage for each gender.

• Dotplots that display the number in each opinion category for each gender.

The expected count of females who respond "almost certain" is

• 487.7

• 525

• 965

• 1038.8

• 1174

The sum of the joint relative frequencies in a row or column of a two-way table.

• Marginal Relative Frequency

• Relative Frequency

• Conditional Relative Frequency

• Joint Relative Frequency

The National Longitudinal Study of Adolescent Health interviewed a random sample of 4877 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?" A two-way table of the response by gender is provided. Which of the following would be the most appropriate type of graph for these data?

• A bar chart showing the marginal distribution of opinion about marriage.

• A bar chart showing the marginal distribution of gender.

• A bar chart showing the conditional distribution of gender for each opinion about marriage.

• A bar chart showing the conditional distribution of opinion about marriage for each gender.

The National Longitudinal Study of Adolescent Health interviewed a random sample of 4877 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?" A two-way table of the response by gender is provided. The expected count of females who respond "almost certain" is

• 487.7

• 525

• 965

• 1038.8

The definition of conditional probability P(A|B) is true only when

• P(A) > 0

• P(B) > 0

What p.d.f we have to use when we find the conditional probability of X, given Y?

• Mariginal p.d.f of X

• Mariginal p.d.f of Y

• Conditional p.d.f of X, given Y

• Conditional p.d.f of Y, given X

What is the required condition for two random variables X and Y to be stochastically independent?

• Joint p.d.f of X and Y = Marginal p.d.f of X + Marginal p.d.f of Y

• Joint p.d.f of X and Y = Marginal p.d.f of X - Marginal p.d.f of Y

• Joint p.d.f of X and Y = Marginal p.d.f of X * Marginal p.d.f of Y

• Marginal p.d.f of X = Marginal p.d.f of Y