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Consider the following 2 × 2 table that shows incidence of myocardial infarc- tion (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.
MI Yes
MI No
Totals
Used oral contraceptives
55
65
120
Never used oral contraceptives
25
125
150
80
190
270
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 n B)?
c. What is P(A U B)?
d. Are A and B mutually exclusive?
e. What are P(A|B) and P(B|A)?
f. Are A and B independent?
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Is 0.21, the probability that his wife will vote in the referendum is0.28, and the probability that both the husband and wife will voteis 0.15. What is the probability that: at least one member of a married couple will vote?
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