An airline claims that there is a 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.
Requried:
a. What is the probability he will receive at least one upgrade during the next two weeks?
b. What is the probability that in a set of 20 flights, Sam will be upgraded 3 times or fewer?
c. Sam will take 104 flights next year. Would you be surprised if Sam receives more than 20 upgrades to first class during the year? Justify your answer.