Customers Arrive at a Video Rental Desk at the Rate

question 45

Essay

Customers arrive at a video rental desk at the rate of one per minute (Poisson). Each server can handle .40 customers per minute (Poisson).
(A) If there are four servers, determine:
(1) The average time it takes to rent a video
(2) The probability of three or fewer customers in the system
(B) What is the minimum number of servers needed to achieve an average time in the system of less than three minutes?

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Definitions:

Normal Distribution

A symmetric bell-shaped frequency distribution that is fully defined by its mean and standard deviation.

Intervals

Ranges between two points or values, often used in statistics to indicate the confidence or probability associated with a specific estimate.

Hypothesis

A proposed explanation made on the basis of limited evidence as a starting point for further investigation.

Expected Frequency

The predicted count of occurrences or the number of times an outcome is anticipated to happen in a statistical experiment.