SOLUTION: The probability of a plane flight being on time is 80%. Out of ten flights, what is the probability that at least seven flights will be on time? Explain your answer.
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Question 1179877: The probability of a plane flight being on time is 80%. Out of ten flights, what is the probability that at least seven flights will be on time? Explain your answer. Answer by ikleyn(52880) (Show Source):
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The probability of a plane flight being on time is 80%. Out of ten flights, what is the probability
that at least seven flights will be on time? Explain your answer.
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It is a binomial distribution probability problem.
- number of trials n = 10;
- number of success trials k >= 7;
- Probability of success on a single trial p = 0.8.
We need calculate P(n=10; k>=7; p=0.8).
To facilitate calculations, I use an appropriate online (free of charge) calculator at this web-site
https://homepage.divms.uiowa.edu/~mbognar/applets/bin.html
It provides a convenient input and output for all relevant options/cases.
P(n=10; k>=7; p=0.8) = 0.87913 (rounded). ANSWER
