question archive When the store opens, Arish, Meera, and Zenobia enter
When the store opens, Arish, Meera, and Zenobia enter
Subject:StatisticsPrice: Bought3
When the store opens, Arish, Meera, and Zenobia enter. There are two service counters. Arish begins service at one counter, and Meera begins service at the other counter. Zenobia waits until either Arish or Meera finishes service, and then begins service at that point in time. Assume that the three service times are independent, exponentially distributed random variables. Arish's service time has mean 4 minutes, Meera's service time has mean 5 minutes, and Zenobia's service time has mean 6 minutes. (a) What is the probability that Arish completes service before Meera? (b) What is the expected time that Zenobia waits until starting service? (c) What is the probability that the three finish in alphabetical order?
