17)
Which of three airlines is the most reliable? Three airlines offer regular service from Pittsburgh to Chicago.
A random sample of 500 flights was selected. Below is a two-way table that describes the airline and
whether or not the flight was delayed for non-weather related issues.


Suppose one flight from this study was selected at random.
(a) Find the probability that the selected flight was Airline A.
(b) Find the probability that the selected flight was Airline A, given that the flight was delayed.
(c) Are the events "Airline A" and "flight delayed" independent? Explain.
(d) Are the events "Airline B" and "flight delayed" mutually exclusive? Explain.
(e) If a random sample of two flights were selected, what is the probability that neither flight was
delayed?