McNeese is determining the staffing level for their credit union located within the university. The beginning of the fall semester is their busiest time, with incoming freshmen and transfer students opening accounts. On average, it takes a teller 10 minutes to successfully open an account. Currently, the average arrival rate has been 6 per hour (an interarrival time of 10 minutes or 1/6 = 0.167 hours). As always, we use the exponential distribution as a reasonable approximation for both the interarrival and service times.

1. What is P r(E[X] X < X < E[X] + X)?

2. What is P r(X < E[X])? What about P r(X > 3E[X])?