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

Question

ccording to an airline, flights on a certain route are on time 90% of the time. Suppose 20 flights are randomly elected 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 18 flights are on time. (c) Find and interpret the probability that at least 18 flights are on time. (d) Find and interpret the probability that fewer than 18 flights are on time. (e) Find and interpret the probability that between 17 and 19 flights, inclusive, are on time. No, because the trials of the experiment are not independent. C. No, because the probability of success differs from trial to trial D. O B. No, because there are more than two mutually exclusive outcomes for each trial. (b) The probability that exactly 18 flights are on time is (Round to four decimal places as needed.) 2 Enter your answer in the answer box and then click Check Answer

Explanation / Answer

Answer is the following :

We use the binomial PDF function to solve the problem.

P =. 9

N = 20

a. This is a binomial experiment as the random variable has two outcomes always : follows or doesnt follow the route

b. P(x=18) = 20C18*.9^18 *. 1^2 = 0.2852

c. P(x>=18) = .6769

d. P(17<=x<=19) = P(x<20)- P(x<17) = .8784-.3231=.5553

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