Question 1 4 pts A store has a single check-out stand with a full-time cashier. Customers arrive randomly at the stand at a mean rate of 15 per hour. The service-time distribution is exponential, with a mean of 2 minutes. Determine the following quantities. Write your answer as an integer or a fraction in lowest terms. The probability that the check-out stand is idle (i.e. there are no customers using or waiting for the stand) The probability that there are no customers waiting for the stand The expected number of customers waiting in a queue for the check-out - The expected time spent by each customer waiting in the queue = minutes