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The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of...

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Basic Math

The rates of on-time flights for commercial jets arecontinuously tracked by the U.S. Department of Transportation.Recently, Southwest Air had the best reate with 80 % of its flightsarriving on time. A test is conducted by randomly selecting 13Southwest flights and observing whether they arrive on time. (a)Find the probability that exactly 9 flights arrive late.

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3.8 Ratings (581 Votes)

P(flights arriving late) = 1 - 0.8 = 0.2

n = 13

It s a binomial distribution

P(X = x) = nCx * px * (1 - p)n - x

P(X = 9) = 13C9 * (0.2)^9 * (0.8)^4 = 0.00015

                                                

                                   

                                

                                        
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