Tree and Venn Diagrams · Exercise 11

Use the following information to answer the next two exercises. The following are real data from Santa Clara County, California. As of a certain time, there had been a total of 3,059 documented cases of a disease in the county. They were grouped into the following categories, with risk factors of becoming ill with the disease labeled as Methods A, B, and C and Other:
\begin{array}{|c|c|c|c|c|c|}\hline & \text{Method A} & \text{Method B} & \text{Method C} & \text{Other} & \text{Totals} \\ \hline \text{Female} & \text{0} & \text{70} & \text{136} & \text{49} & \text{____} \\ \hline \text{Male} & \text{2,146} & \text{463} & \text{60} & \text{135} & \text{____} \\ \hline \text{Totals} & \text{____} & \text{____} & \text{____} & \text{____} & \text{____} \\ \hline\end{array}

Suppose a person with a disease in Santa Clara County is randomly selected.

(a) Find P(Person is female).
(b) Find P(Person has a risk factor of method C).
(c) Find P(Person is female OR has a risk factor of method B).
(d) Find P(Person is female AND has a risk factor of method A).
(e) Find P(Person is male AND has a risk factor of method B).
(f) Find P(Person is female GIVEN person got the disease from method C).
(g) Construct a Venn diagram. Make one group females and the other group method C.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §3.5 Tree and Venn Diagrams · Exercise 11