Question:

Problem 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.

Problem 4

Steve, a student at SJSU, has illegally parked his car in the employee parking lot. If Robert the ticket-writer is on duty there's a 90% chance that Steve will get a ticket because of Robert's vigilance.If any other ticket-writer is on duty, there's only a 50% chance that Steve will get a ticket. Steve doesn't know which ticket-writer is on duty, but there's a 30% chance that it is Robert.

(a) Define events that would be useful in analyzing this situation.

(b) Write out mathematically the probabilities that are provided as well as their complements.

(c) If Robert is on duty, what is the probability that Steve does not get a ticket?

(d) Using common sense, is the probability that Steve gets a ticket closer to 50% or 90%?

(e) Calculate the probability that Steve gets a ticket.

(f) It turns out that Steve was lucky and did not get a ticket. What is the probability that Robertwas the ticket-writer on duty?