Eastern airlines knows that 20 percent of its customers fly first class, 20 percent fly business class, and the rest fly coach. Of those customers who fly first class, 70 percent are from the east coast while 30 percent are form elsewhere. In addition of those customers who fly business class 50 percent are from the east coast and 50 percent are from elsewhere. Finally, of those customers who fly coach, 75 are from elsewhere and 25 percent are from the east coast.
a. Construct a probability tree for this problem
b. Construct a probability table for this problem
c. Determine the probability that a customer from the east coast will fly first class?
d. What is the probability that a customer will be from the east coast?