According to data from the US Dept of Trans, Delta Airlines was on time approx 7

Question

According to data from the US Dept of Trans, Delta Airlines was on time approx 76% of the time in 2008. Use this information, and assume that the event that a given flight takes place on time is independent of the event that another flight is on time to answer the following questions:

a) Tom plans to visit his companys branch offices; his journey requires 3 separate flights on Delta Airlines. What is the probability that all of these flights will be on time?

b) How reasonable do you believe it is to suppose the independence of being on time from flight to flight?

Show reasoning.

Explanation / Answer

a) (0.76)^3 = 0.439 b) unreasonable, because a delays might be caused by bad weather, which could affect many flights at the same time, not just one

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