An article reported that what airline passengers like to do most on long flights is rest or sleep; in a survey of 3697 passengers, almost 80% did so. suppose that for a particular route the actual percentage is exactly 80%, and consider randomly selecting nine passengers. then x, the number among the selected nine who rested or slept, is a binomial random variable with n = 9 and p = 0.8. (round your answers to four decimal places.)

Question

Mathematics

Esther Brennan

17 May, 03:42

An article reported that what airline passengers like to do most on long flights is rest or sleep; in a survey of 3697 passengers, almost 80% did so. suppose that for a particular route the actual percentage is exactly 80%, and consider randomly selecting nine passengers. then x, the number among the selected nine who rested or slept, is a binomial random variable with n = 9 and p = 0.8. (round your answers to four decimal places.)

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Triston Parrish · Answer 1

F (x, n, p) = C (n, x) p^x * (1-p) ^ (n-x)

n=9, p=0.8 = >

f (x, 9,0.8) = C (9, x) 0.8^x * (0.2) ^ (9-x)

The function f (x, 9,0.8) is then calculated using the above formula

x f (x)

0 0.0000001 0.0000182 0.0002953 0.0027534 0.0165155 0.0660606 0.1761617 0.3019908 0.3019909 0.134218

Check Sum f (x), [x=0,9] = 1.0 ok