SOLUTION: The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best reate with 80 % of its flig
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Question 1179028: The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best reate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 13 Southwest flights and observing whether they arrive on time. (a) Find the probability that exactly 5 flights arrive on time. Answer by ikleyn(52767) (Show Source):
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The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.
Recently, Southwest Air had the best reate with 80 % of its flights arriving on time.
A test is conducted by randomly selecting 13 Southwest flights and observing whether they arrive on time.
Find the probability that exactly 5 flights arrive on time.
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It is a binomial distribution probability problem.
- number of trials n = 13;
- number of success trials k = 5;
- Probability of success on a single trial p = 0.8.
We need calculate P(n=13; k=5; p=0.8).
To facilitate calculations, I use an appropriate online (free of charge) calculator at this web-site
https://stattrek.com/online-calculator/binomial.aspx
It provides nice instructions and a convenient input and output for all relevant options/cases.
P(n=13; k=5; p=0.8) = 0.0011 (rounded). ANSWER
