Students taking the GMAT were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their responses follows.  BusinessEngineeringOtherFull-Time352197251Part-Time150161194D.  What is the probability that a student intends to attend classes part-time in pursuit of an MBA degree or did not major in Business or Engineering as an undergrad E.  Let F denote the event that the 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 F and B independentPlease do not solve using Microsoft Excel.  My professor is not teaching using excel.  I would like to see the steps taken to getting the solution for my own reference to study.

Question
Asked Nov 6, 2019
  1. Students taking the GMAT were asked 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

Full-Time

352

197

251

Part-Time

150

161

194

D.  What is the probability that a student intends to attend classes part-time in pursuit of an MBA degree or did not major in Business or Engineering as an undergrad 

E.  Let F denote the event that the 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 F and B independent

Please do not solve using Microsoft Excel.  My professor is not teaching using excel.  I would like to see the steps taken to getting the solution for my own reference to study.

check_circleExpert Solution
Step 1

Solution:

The probability distribution table is obtained below:

Business
Engineering
Other
Totals
Full-Time 352/1305=0.2697 197/1305-0.1510 251/1305-0.1923 0.6130
Part-Time 150/1305=0.1149
161/1305=0.1234 194/1305=0.1487
0.3870
0.3847
0.2743
0.3410
1
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Business Engineering Other Totals Full-Time 352/1305=0.2697 197/1305-0.1510 251/1305-0.1923 0.6130 Part-Time 150/1305=0.1149 161/1305=0.1234 194/1305=0.1487 0.3870 0.3847 0.2743 0.3410 1

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Step 2
  1. The probability that a student intends to attend classes part-time in pursuit of an MBA degree or did not major in Business or Engineering as an undergrad is obtained below:

Let F be the full time, P be the part time, E be the engineering and B be the business.

The probability that a student intends to attend classes part-time in pursuit of an MBA degree=0.3870

The probability that student is major in Business=0.3847

The proba...

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