An airline claims that there is the 0.10 probability that coach-class ticket holder who flies frequently will be upgraded to first class upon any flight. This outcome is independent from flight to flight. Sam is frequent flier who always purchases coach-class tickets.
(a) Determine the probability that Sam's first upgrade will occur after the third flight?
(b) Determine the probability that Sam will be upgraded exactly 2 times in his next 20 flights?
(c) Sam will take 104 flights next year. Would you be surprised if Sam receives more than 20 upgrades to first class throughout the year? Justify your answer.