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Customers arrive at a suburban ticket outlet at the rate of 14 per hour on Monday...

Customers arrive at a suburban ticket outlet at the rate of 14 per hour on Monday mornings (exponential interarrival times). Selling the tickets and providing general information takes an average of 3 minutes per customer, and varies exponentially. There is 1 ticket agent on duty on Mondays. What is the average number of customers waiting in line?

A. 1.633

B. 2.333

C. 2.5

D. 3.966

Math   Statistics-And-Probability   
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Answer #1

Here given that customers arrive at suburban ticket outlet at the rate of 14 per hour. that is

Selling ticket and providing general information takes average 3 mins per customer.

Number of customers who will get service in one hour are 60/3 = 20 customers. i.e

The average number of customers waiting in a line is given by

So Answer is A) 1.633

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