Question

Eastern Airlines knows that 20% of its customer 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 East Coast and 50% are from elsewhere, Finally, of those customers that fly coast class,75% are from elsewhere and 25% are from the East Coast.

1- Construct a probability tree for this problem.
2- Construct a probability table for this problem.
3- Determine the probability that a customer from the East Coast will fly first class.
4- What is the probability that a customer will be from the East Coast?