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.

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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 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.
Expert Solution
Step 1

It is given that the random variable X i.e, on-time flights with probability 80% = 0.80 and selected flights are 20.

 

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