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 13 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 11 flights are on time (c) Find and interpret the probability that at least 11 flights are on time (d) Find and interpret the probability that fewer than 11 flights are on time (e) Find and interpret the probability that between 9 and 11 flights, inclusive, are on time (a) Does the probability experiment represent a binomial experiment? O A. No, because there are more than two mutually exclusive outcomes for each trial O B. No, because the probability of success differs from trial to trial. O C. Yes, because the experiment satisfies all the criteria for a binomial experiment. O D. No, because the trials of the experiment are not independent. (b) The probability that exactly 11 flights are on time is (Round to four decimal places as needed.) Choose the correct answer below. O A. n 100 trials of this experiment, we expect about 87 to result in exactly 11 flights being on time. O B. n 100 trials of this experiment, we expect about 24 to result in exactly 11 flights being on time. O C. n 100 trials of this experiment, we expect about 11 to result in exactly 24 flights being on time. O D. n 100 trials of this experiment, we expect about 13 to result in exactly 11 flights being on time.

Explanation / Answer

solution:-
a) option C. yes,because the experiment satisfies all the criteria for a binomial experiment.

b) option D. In 100 trials of this experiment,we expect about 13 to result in exactly 11 flights being on time.

c) option D. In 100 trials of this experiment,we expect about 87 to result in at least 11 flights being on time.

  

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