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(e) The probability that at least 12 flights are on time is (Round to four decimal places as needed.) Interpret the probability. In 100 trials
(e) The probability that at least 12 flights are on time is (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected that about will result in at least 12 flights being on time. (Round to the nearest whole number as needed.)According to an airline, flights on a certain route are on time 75% of the time. Suppose 20 flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Determine the values of n and p. (c) Find and interpret the probability that exactly 12 flights are on time. (d) Find and interpret the probability that fewer than 12 flights are on time. (e) Find and interpret the probability that at least 12 flights are on time. (f) Find and interpret the probability that between 10 and 12 flights, inclusive, are on time.(a) Identify the statements that explain why this is a binomial experiment. Select all that apply. [IV A. The probability of success is the same for each trial of the experiment. [IV B. There are two mutually exclusive outcomes, success or failure. C. Each trial depends on the previous trial. In." D. The experiment is performed a xed number of times. E. The probability of success is different for each trial of the experiment. Z 2 F. The experiment is performed until a desired number of successes is reached. ' ' G. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late. ['3' H. The trials are independent. (b) n = 20 (Type an integer or a decimal. Do not round.) p = 0.75 (Type an integer or a decimal. Do not round.) (c) The probability that exactly 12 flights are on time is 0.0609 . (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected that about 6 will result in exactly 12 flights being on time. (Round to the nearest whole number as needed.) (d) The probability that fewer than 12 flights are on time is (Round to four decimal places as needed.)(f) The probability that between 10 and 12 flights, inclusive, are on time is (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected that about will result in between 10and 12 flights, inclusive, being on time. (Round to the nearest whole number as needed.)Interpret the probability. In 100 trials of this experiment, it is expected that about will result in fewer than 12 flights being on time. (Round to the nearest whole number as needed.)
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