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Elodia [21]
3 years ago
5

Air-USA has a policy of booking as many as 22 people on an airplane that can only seat 20 people. (Past studies have revealed th

at only 82% of the booked passengers actually show up for the flight.) a) Find the probability that if Air-USA books 22 people, not enough seats will be available. Round your answer to 4 decimal places. P ( X > 20 )
Mathematics
1 answer:
Allushta [10]3 years ago
6 0

Answer:

The answer is "0.07404893".

Step-by-step explanation:

Applying the binomial distribution:

n = 22\\\\p= 82\%=0.82\\\\q = 1-0.82 = 0.18\\\\

Calculating the probability for not enough seats:

=P(X>20)\\\\= P(21) + P(22)\\\\

= \binom{22}{21} (0.82)^{21}(0.18)^1+ \binom{22}{22} (0.82)^{22}(0.18)

=0 .06134598+ 0.01270295\\\\=0.07404893

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Answer:

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