Consider the following 2 × 2 table that shows incidence of myocardial infarction

(denoted MI) for women who had used oral contraceptives and women who had never used oral contraceptives. The data in the table are fictitious and are used just for illustrative purposes.

Assume that the proportions in the table represent the “infinite population” of adult women. Let A = {woman used oral contraceptives} and let B = {woman had an MI episode}

a. Find P(A), P(B), P(Ac), and P(Bc).

b. What is P(A B)?

c. What is P(A B)?

d. Are A and B mutually exclusive?

e. What are P(A|B) and P(B|A)?

f. Are A and B independent?

Transcribed Image Text:

MI Yes MI No Totals Used oral contraceptives 55 65 120 Never used oral contraceptives 25 125 150 Totals 80 190 270