An article reported that what airline passengers like to do moston long flights is rest or sleep; in a survey of 3697 passengers,almost 80% did so. Suppose that for a particular route the actualpercentage is exactly 80%, and consider randomly selecting ninepassengers. Then x, the number among the selected nine whorested or slept, is a binomial random variable with n = 9and p = 0.8. (Round your answers to four decimalplaces.)
(a) Calculate p(6).
b) Calculate p(9), the probability that all nineselected passengers rested or slept.
p(9) =Â Â
(c) Determine P(x ≥ 6).
