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. Requried:
a. Are events J and B independent? Why or why not?
b. Are events J and B mutually exclusive? Why or why not?
c. Joe, who is not a business student, attended the job fair. What is the probability that he received a job offer?
d. Another student, Samantha, received a job offer. What is the probability that she is a Business student?