Students taking the Graduste Hanagement Ademissions Test (GMAT) were acked about
ID: 3276241 • Letter: S
Question
Students taking the Graduste Hanagement Ademissions Test (GMAT) were acked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their responses follows Business Engineering other Totals 393 593 986 77 893 45 1,040 122 1,933 Intended Enrollment 123 Full Time Part Time 402 Totals Staturs 825 a. Develop a joint probability table for these data (to 3 deciemals). Undergraduate Major Business Engineeringother Totals Intended Enroment Part-Time Status Totals b. Use the marginal probabilities of undergraduste mejor (Business, Engineering, or Other) to comment on which undergraduate major produces the most potential MBA students C. If a student intends to atend desses full-time in pursut of an MBA degree, what is the probability that the student was an undengraduate Engineering majer (to 3 decimals)? d. tf a student was an undergraduate Business mejor, what is the probeblity thet the student intends to ettend classes full-time in pursuit of an MBA degree (to 3 deomals)? e. Let p de ote tht evert that studert r tends to attend Casses 'tme prut of an MBA degree and et B de de tht trest eat t ot ert ig an dergradae anew mese Art p r independent? Justify your answer Select you' .newer-.. because P(P/B) . select your ans"re.. PP)Explanation / Answer
diviiding each cell with 1933 ; joint probability distribution is as follows:
b) from above engineering
c)probability =393/893 =0.440
d) probability =423/825=0.513
e)No , becasue P(F|B) is not equal to P(F)
business engineering other total full time 0.219 0.203 0.040 0.462 part time 0.208 0.307 0.023 0.538 total 0.427 0.510 0.063 1.000