3. A job fair was held at the Student Union, 25% of the students who attended re

Question

3. A job fair was held at the Student Union, 25% of the students who attended received job offers. Of all of the students at the job fair, 40% were from the College of Business. Among these business students, 50% received job offers. Let J be the event that a student is offered a job. Let B be the event that the student is from the College of Business. a) Are events J and B independent? Why or why not? b) Are events J and B mutually exclusive? Why or why not? c) Write out mathematically the probabilities that are provided

Explanation / Answer

a) P(J) = 0.25

P(B) = 0.4

P(J and B) = 0.4x0.5 = 0.2

The events J and B are independent if P(A)xP(B) = P(A and B)

Here, P(A) x P(B) = 0.25x0.4 = 0.1

So, the events bare not independent.

b) If the events J and B are mutually exclusive, P(J and B0 = 0

Here, P(J and B) = 0.2

So, the events are not mutually exclusive

c)

P(J) = 0.25

P(B) = 0.4

P(J and B) = 0.4x0.5 = 0.2

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