Customers Arrive at a Video Rental Desk at the Rate

question 67

Multiple Choice

Customers arrive at a video rental desk at the rate of one per minute (exponential interarrival times) . Each server can handle 0.4 customers per minute (exponential service times) .
If there are 4 servers, what is the probability of three or fewer customers in the system?

• A) 0.19
• B) 0.23
• C) 0.63
• D) 0.68
• E) 0.79

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Definitions:

Linear

Pertaining to a straight-line relationship in mathematics or economics, often used to describe a direct proportionality between variables.

Substitutes In Production

Products that can be produced using the same resources or processes as another product, allowing producers to switch between them based on market demand or cost considerations.

Fixed Resources

Assets and inputs in the production process that cannot be easily increased or decreased in the short term, such as land and machinery.

Producer

An individual, company, or entity that creates goods or provides services to satisfy consumer demand.