Phone Calls Arrive at the Rate of 30 Per Hour

question 5

Essay

Phone calls arrive at the rate of 30 per hour at the reservation desk for a hotel.
a. Find the probability of receiving two calls in a five-minute interval of time.
b. Find the probability of receiving exactly eight calls in 15 minutes.
c. If no calls are currently being processed, what is the probability that the desk employee can take a four-minute break without being interrupted?

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Definitions:

Efficient Level

The point at which a system operates at maximum productivity with minimum waste and expense.

Marginal Cost

The additional cost incurred in producing one more unit of a good or service.

Willingness to Pay

The maximum amount an individual is prepared to spend for a good or service, reflecting the value they derive from it.

Opportunity Cost

The cost of foregoing the next best alternative when making a decision or choosing to allocate resources in a certain way.