Customer interarrival times at a store are exponentially distributed with rate 8 customers per hour.   Customers are served by a single customer service representative (CSR), with an average service time of 5 minutes.  Service times are also exponentially distributed. Which of the following statements are true? (Please tell me why option B is the right option)   A. The average time spent waiting for the CSR is 15 minutes. B. The store is busy (has customers) 33% of the time C. The probability of having one or more customer in the store is 0.222. D. None of the answers are correct. E. The average number of customers in the store is 2.0.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Customer interarrival times at a store are exponentially distributed with rate 8 customers per hour.   Customers are served by a single customer service representative (CSR), with an average service time of 5 minutes.  Service times are also exponentially distributed. Which of the following statements are true? (Please tell me why option B is the right option)

 

A. The average time spent waiting for the CSR is 15 minutes.

B. The store is busy (has customers) 33% of the time

C. The probability of having one or more customer in the store is 0.222.

D. None of the answers are correct.

E. The average number of customers in the store is 2.0.

 

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