Suppose an airline accepted 12 reservations for a commuter plane with 10 seats. They know that 7 reservations went to regular commuters who will show up for sure (p=1). The other 5 passengers will show up with a 50% chance, independently of each other.
a) The probability that more passengers who will show up for sure will show up than seats are available
b) find the probability that there will be empty seats
c) Let X be the number of passengers turned away. Find E(X)
any hints on how to start?