USA Today reported (“Study Finds Better Survival Rates at ‘High-Volume’ Hospitals”) that “highvolume”

hospitals performed at least 77% of bladder removal surgeries; “low-volume” hospitals performed at most 23%. Assume the percentages are 77% and 23%. In the first two weeks after surgery, 3.1% of patients at low-volume centers died, compared to 0.7%

at the high-volume hospitals.

a. Calculate the probability that a randomly chosen bladder-cancer patient had surgery at a high-volume hospital and survived the first two weeks after surgery.

b. Calculate the probability that a randomly chosen bladder-cancer patient survived the first two weeks after surgery.

c. If two bladder-cancer patients were chosen randomly, determine the probability that only one would survive the first two weeks after surgery.

d. If two bladder-cancer patients were chosen randomly, determine the probability that at least one would survive the first two weeks after surgery.

products will require service prior to the warranty expiring?

b. Suppose a retailer sells four televisions on a particular Saturday. What is the probability that none of the four will need service prior to the warranty expiring?

c. Suppose a retailer sells four televisions on a particular Saturday. What is the probability that at least one will need repair?