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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