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According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 13 flights are randomly selected, and the

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According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 13 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 9 flights are on time. (d) Find and interpret the probability that fewer than 9 flights are on time. (e) Find and interpret the probability that at least 9 flights are on time. (f) Find and interpret the probability that between 7 and 9 flights, inclusive, are on time. (c) Using the binomial distribution, the probability that exactly 9 flights are on time is 0.1535 (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected that about 15 will result in exactly 9 flights being on time. (Round to the nearest whole number as needed.) (d) Using the binomial distribution, the probability that fewer than 9 flights are on time is (Round to four decimal places as needed.)

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