K ces Saved Problem 18-1 Repair calls are handled by one repairman at a photocopy shop....

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K ces Saved Problem 18-1 Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of two hours per call. Requests for copier repairs come in at a mean rate of three per eight-hour day (assume Poisson). Use Table 1. a. Determine the average number of customers awaiting repairs. (Round your answer to 2 decimal places.) Average number of customers b. Determine system utilization. (Omit the "%" sign in your response.) System utilization c. Determine the amount of time during an eight-hour day that the repairman is not out on a call. Prev 1 of 5 Next > Amount of time hours d. Determine the probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to 4 decimal places.) Probability TABLE 18.4 Infinite-source values for Land A given / and M Np. M L P Np M L M L Po 0.15 1 0.026 850 1.1 2 0.477 290 2.4 3 2.589 056 2 0.001 860 3 0.066 327 4 0.431 083 0.20 1 0.050 800 4 0.011 332 5 0.105 089 2 0.002 818 1.2 2 0.675 250 6 0.027 090 0.25 1 0.063 750 3 0.094 294 7 0.007 091 2 0.004 778 4 0.016 300 2.5 3 3.511 045 0.30 1 0.129 .700 5 0.003 301 4 0.533 074 2 0.007 .739 1.3 2 0.951 212 5 0.130 080 0.35 1 0.188 .650 3 0.130 264 6 0.034 082 2 0.011 .702 4 0.023 271 7 0.009 082 0.40 1 0.267 600 5 0.004 272 2.6 26 3 4.933 035 0.017 .667 1.4 1.345 .176 4 0.658 065 0.45 1 0.368 550 3 0.177 236 5 0.161 .072 0.024 633 4 0.032 245 6 0.043 074 3 0.002 .637 5 0.006 246 7 0.011 074 0.50 1 0.500 500 1.5 2 1.929 .143 22 2.7 3 7.354 025 2 0.033 600 3 0.237 211 4 0.811 .057 3 0.003 606 4 0.045 221 5 0.198 .065 0.55 1 0.672 450 5 0.009 223 B 0.053 .067 2 0.045 569 1.6 2 2.844 .111 7 0.014 .067 3 0.004 576 3 0.313 187 2.8 3 12.273 .016 0.60 0.900 400 4 0.060 .199 4 1.000 050 2 0.059 538 5 0.012 201 5 0.241 058 3 0.006 548 1.7 2 4.426 081 6 0.066 060 0.65 1 1.207 350 3 0.409 .166 7 0.018 .061 2 0.077 509 4 0.080 180 2.9 3 27.193 008 3 0.008 521 5 0.017 .182 4 1.234 044 0.70 1 1.633 300 1.8 2 7.674 .053 5 0.293 .052 2 0.098 .481 3 0.532 .146 6 0.081 054 3 0.011 495 4 0.105 .162 7 0.023 055 0.75 1 2.250 250 5 0.023 .165 3.0 4 1.528 038 2 0.123 .455 1.9 17.587 .026 5 0.354 047 3 0.015 .471 3 0.688 .128 6 0.099 049 0.80 1 3.200 200 4 0.136 .145 7 0.028 050 2 0.152 429 5 0.030 149 8 0.008 050 3 0.019 447 6 0.007 149 3.1 4 1.902 032 0.85 1 4.817 .150 2.0 3 0.889 .111 0.427 042 2 0.187 404 4 0.174 .130 6 0.120 044 3 0.024 .425 5 0.040 .134 0.035 045 0.003 .427 6 0.009 .135 8 0.010 .045 0.90 1 8.100 .100 2.1 221 3 1.149 .096 3.2 4 2.386 027 2 0.229 379 4 0.220 .117 5 0.513 037 3 0.030 403 5 0.052 .121 6 0.145 040 4 0.004 406 6 0.012 .122 7 0.043 040 0.95 1 18.050 050 2.2 3 1.491 .081 8 0.012 .041 2 0.277 356 4 0.277 .105 3.3 4 3.027 023 3 0.037 383 5 0.066 .109 5 0.615 033 4 0.005 386 6 0.016 .111 6 0.174 036 1.0 2 0.333 333 2.3 3 1.951 068 7 0.052 037 3 0.045 364 4 0.346 093 0.015 037 4 0.007 367 5 0.084 .099 6 0.021 .100 (continued) K ces Saved Problem 18-1 Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of two hours per call. Requests for copier repairs come in at a mean rate of three per eight-hour day (assume Poisson). Use Table 1. a. Determine the average number of customers awaiting repairs. (Round your answer to 2 decimal places.) Average number of customers b. Determine system utilization. (Omit the "%" sign in your response.) System utilization c. Determine the amount of time during an eight-hour day that the repairman is not out on a call. Prev 1 of 5 Next > Amount of time hours d. Determine the probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to 4 decimal places.) Probability TABLE 18.4 Infinite-source values for Land A given / and M Np. M L P Np M L M L Po 0.15 1 0.026 850 1.1 2 0.477 290 2.4 3 2.589 056 2 0.001 860 3 0.066 327 4 0.431 083 0.20 1 0.050 800 4 0.011 332 5 0.105 089 2 0.002 818 1.2 2 0.675 250 6 0.027 090 0.25 1 0.063 750 3 0.094 294 7 0.007 091 2 0.004 778 4 0.016 300 2.5 3 3.511 045 0.30 1 0.129 .700 5 0.003 301 4 0.533 074 2 0.007 .739 1.3 2 0.951 212 5 0.130 080 0.35 1 0.188 .650 3 0.130 264 6 0.034 082 2 0.011 .702 4 0.023 271 7 0.009 082 0.40 1 0.267 600 5 0.004 272 2.6 26 3 4.933 035 0.017 .667 1.4 1.345 .176 4 0.658 065 0.45 1 0.368 550 3 0.177 236 5 0.161 .072 0.024 633 4 0.032 245 6 0.043 074 3 0.002 .637 5 0.006 246 7 0.011 074 0.50 1 0.500 500 1.5 2 1.929 .143 22 2.7 3 7.354 025 2 0.033 600 3 0.237 211 4 0.811 .057 3 0.003 606 4 0.045 221 5 0.198 .065 0.55 1 0.672 450 5 0.009 223 B 0.053 .067 2 0.045 569 1.6 2 2.844 .111 7 0.014 .067 3 0.004 576 3 0.313 187 2.8 3 12.273 .016 0.60 0.900 400 4 0.060 .199 4 1.000 050 2 0.059 538 5 0.012 201 5 0.241 058 3 0.006 548 1.7 2 4.426 081 6 0.066 060 0.65 1 1.207 350 3 0.409 .166 7 0.018 .061 2 0.077 509 4 0.080 180 2.9 3 27.193 008 3 0.008 521 5 0.017 .182 4 1.234 044 0.70 1 1.633 300 1.8 2 7.674 .053 5 0.293 .052 2 0.098 .481 3 0.532 .146 6 0.081 054 3 0.011 495 4 0.105 .162 7 0.023 055 0.75 1 2.250 250 5 0.023 .165 3.0 4 1.528 038 2 0.123 .455 1.9 17.587 .026 5 0.354 047 3 0.015 .471 3 0.688 .128 6 0.099 049 0.80 1 3.200 200 4 0.136 .145 7 0.028 050 2 0.152 429 5 0.030 149 8 0.008 050 3 0.019 447 6 0.007 149 3.1 4 1.902 032 0.85 1 4.817 .150 2.0 3 0.889 .111 0.427 042 2 0.187 404 4 0.174 .130 6 0.120 044 3 0.024 .425 5 0.040 .134 0.035 045 0.003 .427 6 0.009 .135 8 0.010 .045 0.90 1 8.100 .100 2.1 221 3 1.149 .096 3.2 4 2.386 027 2 0.229 379 4 0.220 .117 5 0.513 037 3 0.030 403 5 0.052 .121 6 0.145 040 4 0.004 406 6 0.012 .122 7 0.043 040 0.95 1 18.050 050 2.2 3 1.491 .081 8 0.012 .041 2 0.277 356 4 0.277 .105 3.3 4 3.027 023 3 0.037 383 5 0.066 .109 5 0.615 033 4 0.005 386 6 0.016 .111 6 0.174 036 1.0 2 0.333 333 2.3 3 1.951 068 7 0.052 037 3 0.045 364 4 0.346 093 0.015 037 4 0.007 367 5 0.084 .099 6 0.021 .100 (continued)