An artine has a policy of booking as many as 19 persons on an airplane that can

Question

An artine has a policy of booking as many as 19 persons on an airplane that can seat only 18 Past studies have revealed that only 850% o the booked pass g actually arrive for the flight.) Find the probability that if the airline books 19 persons, not enough seats will be available. Is it unlikely for such an overbooking to occur? The probability that not enough seats will be available is Round to four decimal places as needed.) Is it unlikely for such an overbooking to occur? nt OA. It is unikely for such an overbooking to occur, because the probability of the overbooking is greater than 0.05 B. It is not unlikely for such an overbooking to occur, because the probability of the overbooking is geater than 005 C. Iis unikely for such an overbooking to occur, because the probablity of the overbooking is less than or oqual to than 0.05 Libr- D lt is not unlikely for such an overbooking to occur because the probability of the o booking is less than or equal to than 005. ols

Explanation / Answer

Binomial Probability = nCx * (p)x * (q)n-x, where n = number of trials and x is the number of successes.

Here n = 19, x = 19, p = 0.85, q = 0.15 and n - x = 19 - 19 = 0

Therefore P(X = 19) = 19C19 * (0.85)19 * (0.15)0= 1 x 0.0456 x 1 = 0.0456

Is it unlikely for such an overbooking to occur? Option C

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