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OpenStax, Statistics §3.5 Tree and Venn Diagrams · Exercise 12 · Combinatorics · Sets & logic

Tree and Venn Diagrams · Exercise 12

Answer these questions using probability rules. Do NOT use the contingency table. Three thousand fifty-nine cases of a disease had been reported in Santa Clara County, California, through a certain date. Those cases will be our population. Of those cases, 6.4 percent obtained the disease through method C and 7.4 percent are female. Out of the females with the disease, 53.3 percent got the disease from method C.

(a) Find P(Person is female).
(b) Find P(Person obtained the disease through method C).
(c) Find P(Person is female GIVEN person got the disease from method C)
(d) Construct a Venn diagram representing this situation. Make one group females and the other group method C. Fill in all values as probabilities.

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OpenStax, Statistics · §3.5 Tree and Venn Diagrams · Exercise 12

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