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1. The probabilities that an adult American woman has high blood pressure and/or high
cholesterol are
Blood Pressure
High OK
High 0.13 0.15
Cholesterol
OK 0.17 0.55
a) What is the probability that a woman has both conditions?
b) What is the probability that she has high cholesterol?
c) What is the probability that a woman has high cholesterol if it’s known that her blood
pressure is OK?
d) Are cholesterol and blood pressure independent?
2. Sprite’s Under the Cap promotion claims that 5% of all Sprite bottles are winners. You buy two
six-packs. What is the probability that you do not win anything?
3. A real-estate ads suggests that 32% of homes for sale have pools, 15% have a FROG (finished
room over garage), and 10% have both features.
a. If a home for sale has a pool, what is the probability that it has a FROG too?
b. Are having a FROG and a pool independent events? Compute and explain.
c. Are having a FROG and a pool mutually exclusive events? Compute and explain.