1. In one town,6out of every14people buys premium gasoline. If a service station has931customers on a given day, and assuming that the data follow a binomial probability model, what is theexpected numberof people who buy premium gasoline?Where applicable, please round your answer to one decimal place.
2. One in every9coffee drinkers at a restaurant prefers coffee with cream and sugar. If20coffee drinkers are chosen at random, and assuming that the data follow a binomial probability model, what is the probability thatat least twocoffee drinkers prefer coffee with cream and sugar? Note:If your answer has up to four decimal places, please enter it without rounding the number. If your answer has more than four decimal places, please round the number to four decimal places.
3. A trainer is teaching a dolphin to do tricks. The probability that the dolphin successfully performs the trick is0.41. Assuming that the data follow a binomial probability model,out of15attempts, what is the probability that the dolphin succeeds4times? Note:If your answer has up to four decimal places, please enter it without rounding the number. If your answer has more than four decimal places, please round the number to four decimal places.
4. During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal completion rate in the league. DeAndre scored with27%of his shots. Suppose you choose a random sample of14shots made by DeAndre during the 2013 season. Assuming that the data follow a binomial probability model, what is the probability that DeAndre scored with4of these shots? Note:If your answer has up to four decimal places, please enter it without rounding the number. If your answer has more than four decimal places, please round the number to four decimal places.
5. 29%percent of the athletes in an high school play football. Assuming that the data follow a binomial probability model, if8athletes are chosen from the high school at random, what is the probability that2of the athletes play football? Note:If your answer has up to four decimal places, please enter it without rounding the number. If your answer has more than four decimal places, please round the number to four decimal places.