According to the Bureau of Transportation​ Statistics,81.9​%of American Airlines flights were on time in 2017. Assume this percentage still holds true for American Airlines. For the next 39 flights from American​ Airlines, use the normal approximation to the binomial distribution to complete parts a through d.   a. Determine the probability that fewer than 28 flights will arrive on time.   The probability is____​(Round to four decimal places as​ needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
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According to the Bureau of Transportation​ Statistics,81.9​%of American Airlines flights were on time in 2017. Assume this percentage still holds true for American Airlines. For the next 39 flights from American​ Airlines, use the normal approximation to the binomial distribution to complete parts a through d.
 
a. Determine the probability that fewer than 28 flights will arrive on time.
 
The probability is____​(Round to four decimal places as​ needed.)
 
 
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Follow-up Question

Determine the probability that 31​, 32​, 33​, 34​, or 35 flights will arrive on time

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Follow-up Question

What about: Determine the probability that 28​, 29​, 30​, or 31 flights will arrive on time.

 

The probability is____

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Follow-up Question

what about : Determine the probability that exactly 34 flights will arrive on time.

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