Please need done by 10 am

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.