According to an airline, flights on a certain route 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) Find and interpret the probability that exactly 12 flights are on time. (c) Find and interpret the probability that fewer than 12 flights are on time. (d) Find and interpret the probability that at least 12 flights are on time. (e) Find and interpret the probability that between 10 and 12 flights, inclusive, are on time.
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