Question

Question-2: In a survey of MBA students, the following data were obtained on "students'first reason for application to the school in which they matriculated." Let A denote the event that a student is full School Quality 421 400 821 Reason for Application School Cost or Convenience 393 593 986 Other 76 46 122 Totals 890 1039 1929 Enrollment Status Full Time Part Time Totals time and let B denote the event that the student lists school quality as the first reason for applying, and C denote the student lists school cost or convenience as the first reason. Using those notations to construct your formula. Write the formula you used first and then plug in the right numbers for your calculations. (i) Develop a joint probability table for these data (ii) Use the marginal probabilities of school quality, school cost or convenience, and other to comment on the most important reason for choosing a school. (iii) If a student goes full time, what is the probability that school quality is the first reason for choosing a school? (iv) If a student goes part time, what is the probability that school quality is the first reason for choosing a schOO (v) Are events A and B independent? Justify your answer.

Answer 1

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