Question

A small regional carrier accepted 23 reservations for a particular flight with 2o seats. 14 reservations went to regular customers who will arrive for the flight. each of the remaining passengers will arrive for the flight with a 50 % chance ,independently of each other. (answers accurate to 4 decimal places.) Find the probability that overbooking occurs find the probability that the flight has empty seats

Answer 1

Let's begin by identifying key information given to us:

Number of seats = 20

Number of reservation = 23

14 regular customers show up. So, we have:

$23-14=9RemainingCustomers$

The number of seats left is:

$20-14=6seats$

Overbooking means that more than 6 remaining customers show up (that could mean 7 or 8 or 9 of the remaining customers show up)

The probability of more than 6 customers arriving is given by: