Venn Diagrams · Exercise 27

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

Do not include "all others" for parts f and g.
(a) Fill in the column for cancer treatment for individuals over age 65.
(b) Fill in the row for all other races.
(c) Find the probability that a randomly selected individual was a White male.
(d) Find the probability that a randomly selected individual was a Black female.
(e) Find the probability that a randomly selected individual was Black
(f) Find the probability that a randomly selected individual was male.
(g) 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 27