Mosaic Plots, Contingency Tables, and Tree Diagrams

A survey of 300 students asked whether they like pizza or burgers. The responses are summarized in the table. What is the probability that a randomly selected student likes burgers, given they are female?

• • 50%

• • 33.33%

• • 40%

• • 25%

A survey of 300 students asked whether they like pizza or burgers. The responses are summarized in the table. Which of the following statements is true?

• • Male students are more likely to like pizza than female students.

• • Female students are equally likely to like pizza or burgers.

• • A randomly selected student is more likely to like pizza than burgers.

• • Male students are more likely to like burgers than pizza.

A company employs 60% of its workers in engineering and 40% in marketing. Of the engineers, 30% are team leads, while 20% of marketers are team leads. What is the probability that a randomly selected worker is both in marketing and a team lead?

• • 12%

• • 8%

• • 20%

• • 30%

A store sells 80% of its products in-person and 20% online. Customers buying in-person choose clothing 60% of the time, while online customers choose clothing 90% of the time. What is the probability that a randomly selected purchase is clothing?

• • 60%

• • 66%

• • 72%

• • 80%

A mosaic plot represents survey results of food preferences (Pizza, Burger) by region (North, South).

What is the probability that a randomly selected respondent prefers Burger?

• • 0.4

• • 0.38

• • 0.62

• • 0.5

A mosaic plot represents survey results of food preferences (Pizza, Burger) by region (North, South). Northerners make up 40% of the respondents.

What is the probability that a respondent is from the North, given they prefer Pizza?

• • 0.4

• • 0.38

• • 0.6

• • 0.52

A mosaic plot represents survey results of food preferences (Pizza, Burger) by region (North, South). Northerners make up 40% of the respondents.

What is the probability that a respondent prefers pizza, given they are from the North?

• • 0.8

• • 0.38

• • 0.6

• • 0.52

A mosaic plot represents survey results of food preferences (Pizza, Burger) by region (North, South). Northerners make up 40% of the respondents.

What is the probability that a respondent prefers burgers, given they are from the South?

• • 0.4

• • 0.38

• • 0.6

• • 0.5

A mosaic plot represents survey results of food preferences (Pizza, Burger) by region (North, South). Northerners make up 40% of the respondents.

What is the probability that a respondent prefers burgers, given they are from the South?

• • 0.4

• • 0.38

• • 0.6

• • 0.5

A mosaic plot represents survey results of food preferences (Pizza, Burger) by region (North, South). Northerners make up 40% of the respondents.

What is the probability that a respondent prefers pizza, given they are from the North?

• • 0.4

• • 0.38

• • 0.6

• • 0.8