Developing joint probability table for data

Reference no: EM1317205

Q1) In survey of MBA students, following data were obtained on "students" first reason for application to 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 marginal probabilities of school cost or convenience, school quality, and other to comment on most significant reason for selecting a school.

c) If a student goes full time, determine the probability that school quality is first reason for selecting a school?

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

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

Reference no: EM1317205

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