16. In a survey of MBA students, the following data were obtained on \"Students\

Question

16. In a survey of MBA students, the following data were obtained on "Students' first reason for application to the school in which they matriculated." Schoot School Convenience Enrollment Full time421 393 593 76 890 46 1039 Status Part time 400 Totals 821 986 122 1929 a. Develop a joint probability table using this data. b. Use the marginal probabilities of school quality. cost/convenience, and other to c. If a student goes full time, what is the probability school quality will be the first d. If a student goes part time, what is the probability school quality will be the first e. Let A be the event that a student is full time and let B be the event that the student comment on the most important reason for choosing a school. reason for choosing a school? reason for choosing a school? lists school quality as the first reason for applying. Are events A and B indepen- dent? Justify your answer.

Explanation / Answer

following information has been generated using ms-excel

(b) marginal probability

(c) P(quality and full time)=0.21

(d) required probability=0.22

(e)P(A)=0.46, P(B)=0.43, P(A and B)= 0.21

P(A)*P(B)=0.46*0.43=0.1978 which is not equal to P( A and B). so A and B are not independent.

quality cost /convenience Other total full time 421 393 76 890 part time 400 593 46 1039 821 986 122 (a) jooint probability distribution quality cost /convenience Other total full time 0.22 0.20 0.04 0.46 part time 0.21 0.31 0.02 0.54 0.43 0.51 0.06 1.00

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