Answer Happy

Question 1 [8 marks] Of the travellers arriving at a small airport, 60% fly on major airlines, 30% fly on privately owned planes, and the remainder fly on commercially owned planes not belonging to a major airline. Of those travelling on major airlines, 50% are traveling for business reasons, whereas 60% of those arriving on private planes and 90% of those arriving on other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at this airport. What is the probability that the person a. is travelling on business? b. is travelling for business on a privately owned plane? c. arrived on a privately owned plane, given that the person is traveling for business reasons? d. is traveling on business, given that the person is flying on a commercially owned plane?