Back to 3.5 Tree and Venn Diagrams

3.5 Exercise 22

Avg difficulty 2.5

Use the following information to answer the next two exercises. The percent of licensed U.S. drivers (from a recent year) that are women is 48.60. Of the women, 5.03% are age 19 and under; 81.36% are age 20–64; 13.61% are age 65 or over. Of the licensed U.S. men drivers, 5.04% are age 19 and under; 81.43% are age 20–64; 13.53% are age 65 or over.

Use the following information to answer the next two exercises. The following data represent the number of new vehicles purchased over a monthly time period in a certain county, within two age groups: people in their twenties and people in their thirties.

Sedan SUV Minivan Other Totals
Twenties 1,135 290 583 158
Thirties 1,246 463 241 190
Totals

Suppose a person from this county is randomly selected.

  1. Find P(Person is in their twenties).
  2. Find P(Person purchases minivan).
  3. Find P(Person is in their twenties OR purchases an SUV).
  4. Find P(Person is in their twenties AND purchases a SEDAN).
  5. Find P(Person is in their thirties AND purchases an SUV).
  6. Find P(Person is in their twenties GIVEN person purchases a minivan).

OpenStax Introductory Statistics 2e, 3.5 Tree and Venn Diagrams, exercise 22

AI Tutor

Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.