During February 2019, the major U.S. airline with the fewest delays was Delta: 78.5% of their flights arrived on time. Assume that the event that a given fight arrives on time is independent of the event that another fight arrives on time. a) Moira plans to take four separate fights for her publisher next month on Delta. Assuming that the airline has the same on-time performance as in February 2019, what is the probability that all four fights arrive on time? (b) Discuss how realistic it is to assume that the on-time arrivals of the different fights are independent.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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During February 2019, the major U.S. airline 
with the fewest delays was Delta: 78.5% of their flights arrived 
on time. Assume that the event that a given fight arrives on 
time is independent of the event that another fight arrives on time.

a) Moira plans to take four separate fights for her publisher 
next month on Delta. Assuming that the airline has the 
same on-time performance as in February 2019, what is 
the probability that all four fights arrive on time?


(b)  Discuss how realistic it is to assume that the on-time arrivals of the different fights are independent.

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