In a survey of MBA students the following data were obtained

In a survey of MBA students, the following data were obtained on the student\'s first reason for applications to the school Given a student goes full-time, what is the probability that school quality is the first reason for choosing the school? Given a student goes part-time: what is the probability that school cost is the first reason for choosing the school? What is the probability that a randomly selected student is part-time? What is the probability that a randomly selected student is a full-time or the first reason for choosing the school is Geographical Location?

Solution

a)

P(quality|full time) = 440/1000 = 0.44 [ANSWER]

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b)

P(cost|part time) = 400/1000 = 0.4 [ANSWER]

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c)

P(part time) = 1000/2000 = 0.5 [ANSWER]

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d)

P(full time or location) = (440 + 450 + 110 + 100)/2000 = 0.55 [ANSWER]