(5 points each) The following table contains data from a study of two airlines w
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Question
(5 points each) The following table contains data from a study of two airlines which flew into San Francisco in July 2014 6. Number of on-time flights 336 Number of delayed flights Alaska Airlines Delta Airlines 153 122 768 a. If one of the flights is randomly selected, find the probability that the flight selected was an Alaska Airlines flight. b. If one of the flights is randomly selected, find the probability that the flight was a Delta Airlines flight or was delayed. c. If one of the flights is randomly selected, find the probability that the flight was an Alaska flight given that it arrived on time. d. If two flights are randomly selected, find the probability that they are both delayed flights.Explanation / Answer
Total flights = 336 + 153 + 768 + 122 = 1379
a) P(Alaska Airlines) = (336 + 153) / 1379 = 0.3546
b) P(Delta Airlines or flight was delayed) = P(Delta Airlines) + P(Flight was delayed) - P(Delta airlines was delayed)
= (768 + 122)/1379 + (153 + 122)/1379 - 122/1379
= 0.7563
c) P(Alaska airline | flight arrived on time) = P(Alaska airline arrived on time) / P(flight arrived on time)
= (336/1379) / ((336+768)/1379)
= 336 / (336 + 768)
= 0.3043
d) P(flight was delayed) = (153 + 122) / 1379 = 0.1994
P(both flights are delayed) = 0.19942 = 0.0398
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