Back to 3.5 Venn Diagrams

3.5 Exercise 43

Avg difficulty 2.5

Use the information in the the table to answer the next eight exercises. The table shows the political party affiliation for various members of the U.S. Senate during two separate years when they are up for reelection.

Up for reelection: Democratic party Republican party Other Total
Year A 20 13 0
Year B 10 24 0
Total

the table gives the number of participants in the recent National Health Interview Survey who had been treated for cancer in the previous 12 months. The results are sorted by age, race (Black or White), and sex. We are interested in possible relationships between age, race, and sex. We will let suicide victims be our population.

Race and sex 15–24 25–40 41–65 Over 65 TOTALS
White, male 1,165 2,036 3,703 8,395
White, female 1,076 2,242 4,060 9,129
Black, male 142 194 384 824
Black, female 131 290 486 1,061
All others
TOTALS 2,792 5,279 9,354 21,081

Do not include "all others" for parts f and g.

  1. Fill in the column for cancer treatment for individuals over age 65.
  2. Fill in the row for all other races.
  3. Find the probability that a randomly selected individual was a White male.
  4. Find the probability that a randomly selected individual was a Black female.
  5. Find the probability that a randomly selected individual was Black
  6. Find the probability that a randomly selected individual was male.
  7. Out of the individuals over age 65, find the probability that a randomly selected individual was a Black or White male.

OpenStax Introductory Business Statistics 2e, 3.5 Venn Diagrams, exercise 43

AI Tutor

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