According to data from the U.S. Department of Transportation, Delta Airlines was on time approximately 87% of the time in 2012. Use this information, and assume that a flight being on time is independent of another flight being on time.
a. Andrew Smith plans to visit his company's branch offices; his journey requires 3 separate flights on Delta Airlines. What is the probability(round to the nearest ten thousandths) that all of these flights will be on time?
b. How reasonable do you believe it is to suppose that each flight being on time is independent of any other flight being on time? Explain.
