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Problem 18-4 The following information pertains to telephone calls to a motel switchboard on a typical Tuesday. Use Table 1 . Period Incoming Rate (calls

Problem 18-4

The following information pertains to telephone calls to a motel switchboard on a typical Tuesday. UseTable 1.

Period Incoming Rate (calls per minute) Service Rate (calls per minute per operator) Number of Operators
Morning 1.8 1.5 2
Afternoon 2.2 1.0 3
Evening 1.4 0.7 3

a. Determine the average time callers wait to have their calls answered for each period and the probability that a caller will have to wait for each period.(Round intermediate calculations and final answers to 3 decimal places.)

Period

Pw

Morning

Afternoon

Evening

b. Determine the maximum line length for a probability of 96 percent.(Round your intermediate calculations to 3 decimal places and round up your final answers to the next whole number.)

Period

Lmax

Morning

Afternoon

Evening

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