Bad gums may mean a bad heart. Researchers discovered that 80% of people who have suffered a heart attack had?

by johnpaulgoguen

Bad gums may mean a bad heart. Researchers discovered that 80% of people who have suffered a heart attack had?Bad gums may mean a bad heart. Researchers discovered that 80% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums. Only 31% of healthy people have this disease. Suppose that in a certain community heart attacks are quite rare, occurring with only 10% probability.

A. If someone has periodontal disease, what is the probability that he or she will have a heart attack?

Probability =

B. If 43% of the people in a community will have a heart attack, what is the probability that a person with periodontal disease will have a heart attack?

Answer by M3
G = gum (periodontal) disease
H = heart attack

qA
P(G & H) = 80% * 10% = 8% = A
P(G & H') = 31% * 90% =27.9%
P(G) = sum of the above = 35.9% = B

P(H | G) = A/B
= .2228
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qB
do exactly as above with different figures for P(H)

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