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 1.8 1.5 2 Afternoon 2.7 1.0 3 Evening 1.6 .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 98 percent. (Round your intermediate calculations to 3 decimal places and round up your final answers to the next whole number.)
Period Lmax Morning
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