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1) You are running a carpet store and have noticed that the customer arrival times are exponentially distributed with a
Posted: Thu May 05, 2022 9:03 am
by answerhappygod
- 1 You Are Running A Carpet Store And Have Noticed That The Customer Arrival Times Are Exponentially Distributed With A 1 (113.99 KiB) Viewed 45 times
1) You are running a carpet store and have noticed that the customer arrival times are exponentially distributed with a mean of 2 hours. You currently have 2 sales employees who can serve your customers, and the time they spend with a customer is exponentially distributed with a mean of 2 hours. Today a customer has just arrived at 12:00 noon. (a) What is the probability that the next customer will arrive: (i) before 1:00pm, (ii) between 1:00 and 2:00pm, and (iii) after 2:00pm? (b) What is the probability that the number of arrivals between 1:00 and 2:00pm will be (i) zero, (ii) one, and (iii) two or more? (c) Suppose both salespeople are serving customers at 1:00pm. What is the probability that they will both be free at 2:00pm?