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Multi-part question: ** I need help on part E** The airline industry defines an on-time flight...

Multi-part question: ** I need help on part E**

The airline industry defines an on-time flight as one that arrives within 15 minutes of its scheduled time. The following table shows the number of on-time and late flights leaving New York and arriving in Miami between November 1 and December 31, 2018.

Airlines On-Time Late Total
United 255 71 326
Delta 298 68 366
American 230 56 286
Total 783 195 978

a.      What is the probability that a randomly selected flight was United and was late?

b.      What is the probability that a randomly selected flight was American or was on-time?

c.      Given the flight was late, what is the probability that it was from Delta?

d.      Given the flight was from United, what is the probability that it was late?

e.      Construct a probability tree for these probabilities.

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