On a particular day, 112 of 280 passengers on a particular DTW-LAX flight used the e-ticket check-in kiosk to obtain boarding passes. In a random sample of eight passengers, use the binomial model to find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
A).2322
B).8263
C).2926
D).5613

Question

Quizplus · Accepted Answer

The hypergeometric probability is given by:```P(X = k) = (C(K, k) * C(N-K, n-k)) / C(N, n)```where:* N is the total number of passengers* K is the number of passengers who used the e-ticket check-in kiosk* n is the sample size* k is the number of passengers in the sample who used the e-ticket check-in kioskIn this case, N = 280, K = 112, n = 8, and k = 4. Plugging these values into the formula, we get:```P(X = 4) = (C(112, 4) * C(168, 4)) / C(280, 8) = 0.2322```Therefore, the approximate hypergeometric probability that four passengers in a random sample of eight will have used the e-ticket check-in kiosk to obtain boarding passes is 0.2322.

On a Particular Day, 112 of 280 Passengers on a Particular