According to an airline, flights on a certain route are on time 90% of the time.

Question

According to an airline, flights on a certain route are on time 90% of the time. Suppose 10 flights are randomly selected and the number of on-time flights is recorded.

(a) Explain why this is a binomial experiment.

(b) Find and interpret the probability that exactly 8 flights are on time.

(c) Find and interpret the probability that fewer than 8 flights are on time.

(d) Find and interpret the probability that at least 8 flights are on time

(e) Find and interpret the probability that between 6 and 8 flights, inclusive, are on time.

Explanation / Answer

a) It is a binomial trial because: it satisfies below conditions

The experiment consists of n repeated trials. Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.

b) 10C8 * 0.90^8 * 0.1^2 = 0.1937

c) binomcdf(10,.90,7) = .0574

d) 1 - binomcdf(10,0.90,7) = 0.9426

e) binomcdf(10,0.90,8) - binomcdf(10,0.90,5) = 0.1937 - 0.001488 = 0.1922

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