ers arriving at a small airport, 60% fly on major airlines, 30% fly on privately
ID: 3323338 • Letter: E
Question
ers arriving at a small airport, 60% fly on major airlines, 30% fly on privately owned the rest fly on commercially owned planes not belonging to a major airline. Of those ngon major airlines, 50% are traveling for business reasons, while 60% of those arriving on vate planes and 90% of those arriving on other commercial planes are traveling for business reasons. one person arriving on this airport is randomly selected. What is the probability that travel pri a) the person is traveling for business reasons? [3 pts the person arrived on a privately owned plane, given that he or she is traveling for business reasons? [3 pts b)Explanation / Answer
9.
Converting the given information into a 2 way table
Probability that a person is travelling on business reasons = Total of the column business / Grand total = 57/100 = 0.57
Probability that a person arrived on a privately owned plane, that he or she is travelling for business reasons = Cell value of row - private and column - business / Total of the row privately owned = 18/30 = 6/10 = 0.6
Probability that a person arrived on a privately owned plane, that he or she is travelling for business reasons = 0.6
Business Business Non business Total Major 50% of 60 30 =60-30=30 60 Private 60% of 30 18 =30-18=12 30 Commercial 90% 10 9 =10-9 =1 10 Total 57 43 100Related Questions
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