omework Saved Problem 18-9 (Static) One field representative services five customers for a computer manufacturer. Customers request assistance at an average (Poisson distributed) rate of once every four working days. The field representative can handle an average (Poisson distributed) of one call per day, Determine the following: Use Table 1 a. The expected number of customers walting. (Round your answer to 3 decimal places.) Expected number of customers waiting 0.995 b. The average length of time customers must wait from the initial request for service until the service has been completed. (Round your answer to 2 decimal places.) Average length of time 2.24 days c. The percentage of time the service rep will be idle. (Round your answer to 1 decimal place.) d. How much your answer to part a would be reduced if a second field rep were added? (Round your answer to 3 decimal places.) Reduced number of customers) X M D F X M D F X MD F X MDF TABLE 18.7 Finite-queuing 082 .575 089 944 .594 .095 612 .102 2 1 2 1 2 1 2 1 3 2 1 3 2 1 3 830 Population 5 .125 012 1 .080 999 .019 1 .095 998 .130 025 1 .125 .997 030 1 .149 996 .135 .034 1 .169 995 036 1 .179 994.140 040 1 .199 .993 042 1 208 ,992.145 .044 1 .218 991 046 1 .228 .990 .050 1 .247 989 150 052 1 257 988 ,054 1 .266 987 056 2 018 999.155 1 276 985 058 2 .019 999 1 .285 984 .160 080 2 .020 999 1 .295 983 082 2 022 999 .165 1 982 054 2 023 999 1 314 981 170 066 2 024 999 1 323 979 068 2 026 999 180 1 353 978 070 2 027 999 1 342 977 .190 075 2 051 999 1 365 973 080 2 085 998 200 1 380 969 085 2 040 998 1 410 965 210 2011 .109 547 012 .115 864 013 .123 580 015 .130 695 989 2 1 3 994-2003 .920 2 .833 1 .914 .270 3 .833 2 .907 1 .992.280 3 .900 2 .999 1 -991.290 4 892 3 999 2 .990 1 885 300 4 999 3 2 .877 1 999 310 4 988 3 869 2 999 1 987 320 4 861 3 999 2 985 1 853 330 4 999 3 983 2 836 1 998 340 4 980 3 819 2 998 1 976 380 4 801 3 998 2 .058 994440 3 .238 .980 300 950 2 .652 807 903 895 1 .992 .451 054 994 480 4 .045 995 323 3 .266 953 915 .677 2 .886 787 071 .993 1 .994 432 342 938 480 4 053 994 925 .661 3 .296945 .007 .999 2 719 787 .079 .992 1 .996 415 362 932 500 4 063992 934 644 3 327 938 008 999 2 .750 748 .086 990 1 .997 399 382 926 520 4 073 991 942 .628 3 359 927 .009999 2 .779 728 094 989 1 .998 384 .402 919 540 4 085 999 950 613 3 392 917 010 999 2 806 708 .103 988 1 998 370 .422 912 560 4 098 998 958 .597 3 426 906 012 999 2 81 589 112 986 1 999 357 442 904 580 4 113 984 962 583 3 461 895 013 999 2 854670 .121 985 1 999 345 462 896 500 4 130 931 367 569 3 497 883 012 998 2 575 552 141 981 1 999 353 501 380 550 4 179 972 2 1 3 2 1 016 304 3 2 1 3 2 1 3 2 1 3 2 1 3 .137 710 017 6145 725 021 .161 752 024 .117 778 028 194 801 082 778 1 360 4 .080 2 1 .085 2 1 090 2 1 3 2 1 3 2 1 3 2. 1 3 2 3 2 1 4 380 .095 4 3 2 1 4 3 2 1 4 3 2 1 365 973 035 998 200 388 969 .040 998 .410 965 210 044 998 432 960 049 997 220 .454 .955 054 997 .475 950 230 .059 997 496 945 065 .996 240 .516 939 017 995 537 933 250 075 995 556 2 1 2 .819 028 998 .194 ,978 .801 .801 032 .998 .211 973 822 .783 035 997 .229 .959 .842 .765 041 997 247 965 880 747 046 996 265 960 876 730 052 995 955 890 .712 .462 896 .800 1967 569 017998 141 .981 501 .880.650 975 .542 021 .998 .163 .976 540 863 700 981 516 026 997 .188 972 579 .845 750 988 493 031 997 211 966 800 616 826 989 471 037 996 3 2 1 100 .130 981 A97888 .875852 .999 333 .179.972 588 850 918 808 .999 308 240 980 .678 815 950 568 999 286 316 944 763 777 972 532 410 924 841 739 987 500 400 .105 2 4 .110 420 1 2 1 2 1 2 1 4 3 2 1 4 3 2 1 4 1 3 2 1 3 2 1 115 3 2 4 3 2 284 120 440 927 77 FMC