Students taking the Postgraduate Admissions Test (GMAT) are

Students taking the Postgraduate Admissions Test (GMAT) are asked about their undergraduate major  them and their plans for an MBA, whether they are full-time students  or part time. The following is a summary of their responses

a. Develop a shared probability table for this data.
b. Use the marginal probability of an undergraduate major (business, engineering, or other) for  comment on which undergraduate majors produce the most MBA students  potential.
c. If a student intends to take a full-time class to achieve  an MBA degree, what are the chances that the student is majoring in engineering?
d. If a student is an undergraduate majoring in business, what are the chances that that student  intend to take classes full-time to earn a degree  MBA?
e. Let A be the occurrence that the student intends to take the class full-time  to earn an MBA, and suppose B shows the incidence that the student is  student majoring in business. Are events A and B independent? Explain  your answer.