a job fair was held at the student union. 39% of the students who attended received job offers. of all of the students at the job fair, 49% were from the college of business. among these business students, 69% 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.