The Probability That a Call to an Emergency Help Line

question 61

Multiple Choice

The probability that a call to an emergency help line is answered in less than 10 seconds is 0.8.Assume that the calls are independent of each other.Using the normal approximation for binomial with a correction for continuity, the probability that at least 75 of 100 calls are answered within 10 seconds is approximately _______

• A)0.8
• B)0.1313
• C)0.5235
• D)0.9154
• E)0.8687

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Definitions:

Negative Exponential Distribution

A type of statistical distribution often used to model the time between independent events that happen at a constant average rate.

Average Arrival Rate

In queuing theory, the average number of units (customers, items, etc.) arriving at a service point or system per unit time.

Average Service Rate

A measure of how quickly a service provider or system can perform its intended function, typically evaluated over a period to assess efficiency.

Average Service Time

The average duration needed to complete a particular service or process.