MAT 142 Problem set

Unit: Sets

Topic: Survey Problems

Directions: Solve the following problems. Please show your work and explain your reasoning.

1. A recent poll asked registered voters about their thoughts on the legalization of marijuana and

stem cell research. The results are shown below:

Support the legalization of Marijuana Support Stem-cell Research Total

Male 418 535 953

Female 600 523 1123

Total 1018 1058 2076

a. How many respondents were female or supported stem cell research??

b. How many respondents were males who do not support the legalization of marijuana??

1. 188 ASU students, faculty, and staff were randomly surveyed and asked if they have an

ASU parking decal, ride their bike to campus, or ride the Light Rail. Here are the results:

77 said they have an ASU parking decal

75 said they ride their bike to campus

91 said they ride the Light Rail.

12 people have an ASU parking decal, ride their bike, and ride the Light Rail

18 people have an ASU parking decal and ride the Light Rail.

39 people ride their bike to campus and ride the Light Rail.

20 people have a parking decal and ride their bike to campus.

a. Draw an accurate Venn diagram to represent this situation.

b. How many respondents ride the Light Rail and ride their bike to campus?

c. How many respondents only have an ASU parking decal?

d. How many respondents ride the Light Rail or has an ASU decal?

e. Shade the area on your Venn diagram that represents people who have a parking decal

or who ride their bike to campus but who do not ride the Light Rail