Marginal and Conditional Distributions

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

Which distribution is shown in the graph?

• The conditional distributions of pet source for each kind of pet

• The marginal distribution of pet source

• The marginal distribution of kind of pet (dog or cat).

• The conditional distributions of kind of pet for each source

Ajay has been recording his outcomes for three games that he has played this summer. Data is shown in the figure.

What is the best description of the distribution boxed in the last row of the table shown in the figure?

• This is the marginal distribution of kind of game.

• This is the marginal distribution of outcome.

• This is the conditional distribution of game for each outcome.

• This is the conditional distribution of outcome for each kind of game.

Each day of Spirit Week at Alek's school, students have the option of dressing up according to a different theme. On Tuesday of Spirit Week, Alek recorded the number of students at his school by class and style of dress. The data is shown in the figure.

Which distribution is shown in the graph?

• The marginal distribution of style of dress

• The conditional distributions of style of dress for each class

• The marginal distribution of class

• The conditional distribution of class for students dressed for Spirit Week

Students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey.

Approximately what percent of students are male among those who have preferred cats?

Round your answer to the nearest percent in the integer.

The two-way frequency table shows data from a random sample of 93 students on their favorite season and whether or not the student has allergies.

Which of the following statements is true about the students surveyed?

• A student with allergies is least likely to have spring as their favorite season.

• A student was most likely to have summer as their favorite season, whether or not they have allergies.

• A student with no allergies is more likely to have spring than fall as their favorite season.

• A student was more likely to have no allergies, no matter what their favorite season was.