1.The Jones family was one of the first to come to the U.S. They had 5 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had:

at least 4 girls?

at most 3 girls?

2.Air-USA has a policy of booking as many as 26 persons on an airplane that can seat only 22. (Past studies have revealed that only 85% of the booked passengers actually arrive for the flight.)

Find the probability that if Air-USA books 26 persons, not enough seats will be available. Round your answer to 4 decimal places.

prob =

Is this probability low enough so that overbooking is not a real concern for passengers if you define unusual as 5% or less?

• Since the probability is above 5%, this should be a concern
• Since the probability is below 5%, this should not be a concern

3.A small regional carrier accepted 15 reservations for a particular flight with 12 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 41% chance, independently of each other.

(Report answers accurate to 4 decimal places.)

Find the probability that overbooking occurs.

Find the probability that the flight has empty seats.