Determine the maximum line length

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

  Period Incoming Rate (calls per minute) Service Rate (calls per minute per operator) Number of Operators
  Morning 2.1 1.5 2
  Afternoon 2.6 1.0 3
  Evening 1.8 .5 4

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.)

b. Determine the maximum line length for a probability of 94 percent. (Round your intermediate calculations to 3 decimal places and round up your final answers to the next whole number.)

 

Reference no: EM13108230

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