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4 Problem 18-4 (Algo) 2 points The following information pertains to telephone calls to a motel on a typical Tuesday. Use Table 18.4. Period Morning Afternoon Evening Service Rate Incoming Rate (calls (calls per minute per per minute) operator) 2.1 1.4 2.5 1.0 1.8 Number of Operators 2 3 4 eBook Print Click here for the Excel Data File References 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.) wa Pw Period Morning Afternoon Evening b. Determine the maximum line length for a probability of 92 percent. (Round your intermediate calculations to 3 decimal places and round up your final answers to the next whole number.) Lmax Period Morning Afternoon Evening 0.35 1 0.1SS .650 3 0.130 .264 5 0.130 080 2 0.011 .702 4 0.023 .271 6 0.034 082 0.40 1 0.267 .600 5 0.004 272 7 0.009 .082 2 0.017 667 .667 1.4 2 1.345 .176 2.6 3 4.933 .035 0.45 1 0.368 550 3 0.177 .236 4 0.658 .065 2 0.024 .633 4 0.032 .245 5 0.161 .072 3 0.002 .637 5 0.006 .246 6 0.043 .074 0.50 1 0.500 .500 1.5 2 1.929 .143 7 0.011 .074 2. 0.033 .600 3 0.237 211 | 2.7 3 7.354 025 3 0.003606 4 4 0.045 .221 4 0.811 .057 0.55 1 0.672 450 5 0.009 .223 5 0.198 .065 2 0.045 569 1.6 2. 2.844 .111 6 0.053 .067 3 0.004 -576 3 0.313 .187 7 0.014 .067 0.60 1 0.900 400 4 0.060 .1992.8 3 12.273 016 2 0.059 538 5 0.012 201 4 1.000 .050 3 0.006 545 1.7 2 4.426 081 5 0.241 .058 0.65 1 1.207 350 3 0.409 .166 6 0.066 .060 2. 0.077 -509 4 0.080 .180 7 0.018 .061 3 0.008 .521 5 0.017 .182 2.9 3 27.193 00S 0.70 1 1.633 300 1.8 2 7.674 .053 4 1.234 .044 2. 0.098 481 3 0.532 .146 5 0.293 .052 3 0.011 495 4 0.105 .162 6 0.081 054 0.75 1 2.250 250 5 0.023 .165 7 0.023 .055 2 0.123 455 1.9 2 17.587 026 3.0 4 1.528 .038 3 0.015 471 3 0.6SS .128 5 0.354 .047 0.SO 1 3.200 -200 4 0.136 .145 6 0.099 .049 2 0.152 429 5 0.030 .149 7 0.028 .050 3 0.019 447 6 0.007 .149 8 0.005 .050 0.85 1 4.817 .150 2.0 3 0.889 .111 3.1 4 1.902 .032