Question

Students taking a test 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.

                Undergraduate Major    Totals

Business               Engineering        Other

Intended

Enrollment

Status    Full-Time             354        199        253        806

Part-Time            150        160        195        505

Totals    504        359        448        1,311

(a)

Develop a joint probability table for these data. (Round your answers to three decimal places.)

                Undergraduate Major    Totals

Business               Engineering        Other

Intended

Enrollment

Status    Full-Time             Correct: Your answer is correct. Incorrect: Your answer is incorrect.          Incorrect: Your answer is incorrect.         Incorrect: Your answer is incorrect.

Part-Time            Correct: Your answer is correct. Correct: Your answer is correct. Incorrect: Your answer is incorrect.                 Correct: Your answer is correct.

Totals    Correct: Your answer is correct. Incorrect: Your answer is incorrect.          Incorrect: Your answer is incorrect.                 1.000

(b)

Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the most potential MBA students.

From the marginal probabilities, we can tell that

Correct: Your answer is correct. majors produce the most potential MBA students.

(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? (Round your answer to three decimal places.)

Incorrect: Your answer is incorrect.

(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? (Round your answer to three decimal places.)

Incorrect: Your answer is incorrect.

(e)

Let A 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 A and B independent? Justify your answer. (Round your answers to three decimal places.)

P(A)P(B)

= Incorrect: Your answer is incorrect. and

P(A ∩ B)

= Incorrect: Your answer is incorrect. , so the events

Correct: Your answer is correct. independent.

Answer 1

i tried my best please appreciate it......Please don't dislike if any problem comment me