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According to flightstats com American Airlines flights from Dallas to Chicago are on time 80 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 14 flights are on time d Find and interpret the probability that fewer than 14 flights are on time e Find and interpret the probability that at least 14 flights are on time f Find and interpret the probability that between 12 and 14 flights inclusive are on time a Identify the statements that explain why this is a binomial experiment Select all that apply A The experiment is performed until a desired number of successes are reached B The probability of success is different for each trial of the experiment C The experiment is performed a fixed number of times D There are two mutually exclusive outcomes success or failure E There are three mutually exclusive possible outcomes arriving on time arriving early and arriving late F The probability of success is the same for each trial of the experiment G Each trial depends on the previous trial H The trials are independent b Using the binomial distribution determine the values of n and p Type an integer or a decimal Do not round Type an integer or a decimal Do not round c Using the binomial distribution the probability that exactly 14 flights are on time is Pound to four decimal places as needed n p

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