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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 8 flights are on time. (d) Find and interpret the probability that fewer than 8 flights are on time. (e) Find and interpret the probability that at least 8 flights are on time. (f) Find and interpret the probability that between 6 and 8 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. A. There are two mutually exclusive outcomes, success or failure. B. The experiment is performed a fixed number of times. c. Each trial depends on the previous trial. D. The experiment is performed until a desired number of successes are reached. E. The trials are independent. F. The probability of success is the same for each trial of the experiment. G. There are three mutually exclusive possible outcomes, arriving on-time, arriving early, and arriving late. H. The probability of success is different for each trial of the experiment. (b) Using the binomial distribution, determine the values of n and p. n = (Type an integer or a decimal. Do not round.) P =(Type an integer or a decimal. Do not round.) (c) Using the binomial distribution, the probability that exactly 8 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 exactly 8 flights being on time. (Round to the nearest whole number as needed.) (d) Using the binomial distribution. the probability that fewer than 8 flights are on time is [ 1. Time R + Search or type URL esc * CO O

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