Eastern Airlines knows that 20 % of its customers fly first class, 20 % fly business class, and the rest fly coach. Of those customers who fly first class, 70% are from the East Coast while 30% are from elsewhere. In addition, of those customers who fly business class, 50% are from the Eats Coast and 50% are from elsewhere. Finally, of those customers that fly coach class, 75% are from elsewhere and 25% 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?