Undergraduate Major Business 352 150 502 Engineering 197 161 358 Other Totals In
ID: 3047089 • Letter: U
Question
Undergraduate Major Business 352 150 502 Engineering 197 161 358 Other Totals IntendedFull Time Enrollment Part Time Status 251 194 445 800 505 1305 Totals a. Develop a joint probability table for these data (to 3 decimals) Undergraduate Major Engineering .151 Business Other Totals Intended Enrollment Status Full-Time 270 192 Part-Time 115 123 .149 Totals .385 U .274 .341 b. Use the marginal probabilities of undergraduate major (Business, Engineering, or Other) to comment on which undergraduate major produces the most potential MBA students. Business c. If a student intends to attend classes full-time in pursuit of an MBA degree, what is the probability that the student was an undergraduate Engineering major (to 3 decimals)? d. If a student was an undergraduate Business major, what is the probability that the student intends to attend classes full-time in pursuit of an MBA degree (to 3 decimals)? e. Let A denote the event that student intends to attend classes full-time in pursuit of an MBA degree, and let B denote the event that the student was an undergraduate Business major. Are events A and B independent? No, they are dependentExplanation / Answer
a) dividing each cell with 1305
c)
P(undrgraduate enginnering major|full time) =0.151/0.613 =0.246
d) P(full time|undrgraduate business) =0.270/0.385 =0.701
business engineering other total full time 0.270 0.151 0.192 0.613 part time 0.115 0.123 0.149 0.387 total 0.385 0.274 0.341 1.000Related Questions
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