Question

1. Airlines often charge a fee for passengers to select their own seat. To avoid the fee, a prospective passenger allows his seat to be selected randomly. Let A denote the event that the selected seat is an aisle seat, let B denote the event that it is a middle seat, let C denote the event that it is a window seat and let D denote the event that the selected seat is in the back half of the plane. Suppose P(A) = 0.31, P(B)=0.52, P(C)= 0.17. P(D|B) = 0.35, P(D|C) = 0.63, P(D|A) = 0.54.
   1. Find the probability that the seat is in the front half of the plane given that it is a window seat.
   1. Let E denote the event that the selected seat is on the right side of the plane. If P(E)= 0.45 and event E is independent of whether the seat is an aisle, middle, or window seat, find the probability that the selected seat is a window seat and on the right side of the plane.

Answer 1