A survey of MBA students obtained the following data on Students first reason for application to the

A survey of MBA students obtained the following data on “Students’ first reason for application to the school in which they matriculated.”

a. Develop a joint probability table using these data.
b. Use the marginal probabilities of school quality, school cost or convenience, and other to comment on the most important reason for choosing a school.
c. If a student goes full time, what is the probability that school quality will be the first reason for choosing a school?
d. If a student goes part time, what is the probability that school quality will be the first reason for choosing a school?
e. Let A be the event that a student is full time and let B be the event that the student lists school quality as the first reason for applying. Are events A and B independent? Justify youranswer.

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Reason for Application School Cost or School Quality Covenience OtherTotals 890 1039 1929 421 400 821 Enrollment Status Full Time Part Time 393 593 986 76 46 Totals