When treated with an antibiotic, 94% of all the dolphins are cured of an ear infection. If 7 dolphins are treated, find the probability that exactly 4 are cured. Round your answer to the nearest ten-thousandth.
Assume that math test scores are normally distributed with a mean of 200 and a standard deviation of 40. If you scored 120 on this exam, what percentage of those taking the test scored below you? Round your answer to the nearest tenth.
A fruit company guarantees that 90% of the pineapples it ships will ripen within 4 days of delivery. Find the probability that at least 10 pineapples in a case of 12 are ripe within 4 days. Round your answer to the nearest ten-thousandth.