Probability values for discrete distribution

Reference no: EM1315536

In a survey of MBA students, the following data were obtained on "students" first reason for application to the school in which they matriculated."

		Reason for application
		School quality	school cost	Other	Total
Enrollment	Full time	421	393	76	890
status	part time	400	593	46	1039
	Total	821	986	122	1929

a) Develop a joint probability table for 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 is the first reason for choosing a school?

d) If a student goes part time, what is the probability that school quality is the first reason for choosing a school?

e) Let A denote the event that a student is full time and B denote the event that the student lists school quality as the first reason for applying. Are events A and B independent? Justify your answer.

Reference no: EM1315536

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