Topic: Exponential Distribution

Q1. (5 points.) The department of statistics at Miami University has been searching for a new lecturer. Every faculty member in the department of statistics needs to meet with the job candidate in a one on one meeting. The time (in hours) each faculty member takes to meet with the candidate has an exponential distribution with the scale parameter ,6 = 1/2. The meetings are scheduled at quarter-hour interval, beginning at 8:00 AM EST, but the faculty members would have to wait if the previous meeting has not ended by then. The rst meeting with the candidate was hosted by Dr. Bailer, the chair of the department, which started on time. If Jing is scheduled to meet with the candidate at 8:15 AM (i.e., the second meeting the candidate would have), what is the probability that Jing will have to wait before meeting with the candidate