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Customers at an Amusement Park Arrive at the Rate of 10

question 80

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.It is estimated that the cost of customer waiting time associated with dissatisfied customers and loss of goodwill is $15 per hour.The employee at the service booth is paid $10 an hour.Determine the capacity related cost per day for the waiting line system.Assume total hours of operation as 10 hours per day.

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Definitions:

P(A ∩ B)

The probability of the intersection of events A and B, representing the likelihood that both events occur simultaneously.

P(A ∪ B)

Represents the probability of the occurrence of at least one of two events, A or B, including the case where both events occur simultaneously.

P(A ∩ B)

The probability that events A and B both occur, also known as the intersection of A and B.

Venn Diagram

A graphical representation for showing symbolically the sample space and operations involving events in which the sample space is represented by a rectangle and events are represented as circles within the sample space.