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For a​ six-month period, an airline had​ on-time departures 84% of the time and​ on-time arrivals...

For a​ six-month period, an airline had​ on-time departures 84% of the time and​ on-time arrivals 79​% of the time.​ (These statistics were based on tracking a sample of scheduled​ flights, not all scheduled​ flights.) Suppose you had taken three flights on the airline in that period.

a) What is the probability that all three were on-time departures?

b) What is the probability that none were all-time departures?

c) What is the probability that at least one was an on-time departure?

d) What is the probability that all three were on-time arrivals?

e) What is the probability that none were all-time arrivals?

f) What is the probability that at least one was an on-time arrivals?

g) What assumption was needed in calculating the probabilities parts a through f?

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