Question

Multi-part question:

Please show explanation and step by step work!

Answer 1

Let the number of travelers be 100. Then we can represent the data in the form of the following table:

	Business	Personal	Total
Major Airline	50% of 80 = 40	80 - 40 = 40	80% of 100 = 80
Private Owned	70% of 20 = 14	20 - 14 = 6	20% of 100 = 20
Total	54	46	100

(a) P(Business) = 54/100 = 0.54

(b) P(Business and Private Owned) = 14/100 = 0.14

(c) P(Major Airline | Business) = P(Major Airline and Business) / P(Business) = (40/100) / (54/100) = 40/54 = 0.741.