Question

A small regional carrier accepted 14 reservations for a particular flight with 11 seats. 9 reservations went to regular customers.who will arrive for the flight.each of the remaining passengers will arrive for the flight with a 48% chance, independently of each other. Find probability overbooking occurs. Find probability that flight has empty seats.

After being rejected for employment, Kim hired 2 women among 19 employees equal qualified men and women . Find probability getting 2 or less women when 19 people are hired assuming there no discrimination based on gender.

Answer 1

1. 14 reservations were accepted, which means, 14 tickets were sold. Of which, 9 were regular passengers and were sure to arrive. Now the remaining 14 - 9 = 5 passengers will arrive for the the flight independently with probability 0.48 but we only have 2 more seats in the flight (since out of 11 seats, 9 are fixed). Therefore, overbooking will occur if more than 2 of these 5 remaining passengers arrive.