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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 rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that at least 3 flights arrive on time."

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guillermoreyesprince

Answer:

You have to use the binomial distribution formula:

[tex]\frac{n!}{k!(n-k)!}p^{k}(1-p)^{(n-k)}[/tex]

where

n is the sample size: 15 flights

k is the nuber of successes: 3 flights

p is the probability of success: 0.80

[tex]\frac{15!}{3!12!}p^{3}(0.20)^{(12)}=9.5420416E-7[/tex]

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