Customers Arrive at the One Remaining Full-Service Gas Station in the Country

question 69

Multiple Choice

Customers arrive at the one remaining full-service gas station in the country at the rate of 45 per minute and are served by the first available of three pump jockeys who can dole out gas and check oil at the rate of 20 customers per minute. Both service and interarrival times are governed by the exponential distribution. The probability that no pump jockey is busy is 0.0748.
-Use the information in Scenario C.3.What is the average number of customers in the system?

• A) Fewer than or equal to 3.0
• B) Greater than 3.0 but fewer than or equal to 3.5
• C) Greater than 3.5 but fewer than or equal to 4.0
• D) Greater than 4.0

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Definitions:

Process Average

The mean value of a series of process measurements, indicating the central tendency of process performance.

Process Range

The difference between the maximum and minimum values in a set of data, reflecting the variability in a process.

Assignable Cause

A specific, identifiable source of variation in a process, distinct from random variation and often indicating a need for corrective action.

Inadequate Training

A situation where employees have not been provided sufficient or appropriate training to perform their jobs effectively.