According to an airline, flights on a certain route are on time 95% of the time.

Question

According to an airline, flights on a certain route are on time 95% of the time. Suppose 17 flights are randomly selected and the number of on time flights is recorded. Use technology to find the probabilities. Use the Tech Help button for further assistance. (a) Determine whether this is a binomial experiment. (b) Find and interpret the probability that exactly 15 flights are on time. (c) Find and interpret the probability that at least 15 flights are on time. (d) Find and interpret the probability that fewer than 15 flights are on time. (e) Find and interpret the probability that between 13 and 15 flights, inclusive, are on time

Explanation / Answer

a. Yes this is binomial distribution as p is same for all, only two outcomes, n is constant, and events are independent.

Here p=0.95 and n=17

b. P(x=15)=0.1575

c. P(x>=15)=0.9497

d. P(x<15)=0.0503

e. P(13<=x<=15)=0.2066

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