In a survey of 1274 ​people, 852 people said they voted in a recent presidential election. Voting records show that 64% of eligible voters actually did vote. Given that 64% of eligible voters actually did​ vote, (a) find the probability that among 1274 randomly selected​ voters, at least 852 actually did vote.​ (a) ​P(Xgreater than or equals852​)equals ​(Round to four decimal places as​ needed.)

Of all registered automobiles in a city, 10% fail the emissions test. Fifteen automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. Find the probability that more than three of them fail the test.

A sample of 400 adults found that 82  have high blood pressure. However, 98 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

A recent survey showed that 94 adults out of a sample of 500 have high blood pressure. However, 108 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.