Customers at an Amusement Park Arrive at the Rate of 10

question 41

Multiple Choice

Customers at an amusement park arrive at the rate of 10 customers per hour.The entry booth is staffed by one employee.The mean service time at the booth to provide service to each customer is 5 minutes.The arrival rate follows a Poisson distribution,and the service time at the booth follows a negative exponential distribution.Determine the probability of exactly five customers in the system.

• A)4.50%
• B)6.70%
• C)5.60%
• D)3.80%

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Definitions:

Pair Of Equations

Two equations that are solved together to find a common solution.

Six-figure Accuracy

A level of precision where a numerical value is accurate to six digits.

Division

A mathematical operation where a number is divided by another number to find how many times the latter is contained in the former.

Negative Exponent

A mathematical expression that denotes division, specifically using powers of the base number to represent fractions or division by that base number.