One field representative services 5 customers for a computer manufacturer. Customers request assistance at an average (Poisson-distributed) rate of once every 3.0 working days. The field representative can handle an average (Poisson-distributed) of 1.0 call per day. Determine: Use Table 1. a. The expected number of customers waiting. (Round "X" value to 2 decimal places. Round your answer to 3 decimal places.) Expected number of customers waiting _____ 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 _____ days c. The percentage of time the service rep will be idle. (Round your answer to 1 decimal place.) _______ Percentage of Idle time d. By how much would your answer to part a be reduced if a second field rep were added? (Round your answer to 3 decimal places.) Reduced number of customer(s) _________

X M D F x M D F X M D F X M D F TABLE 18.7 Finite-queuing tables 3 2 3 2 1 3 2 1 4 1 4 4 728 384 1 4 3 Population 5 .125 2 .012 1 060 999 .0191 095 998 .025 1 125 997 .030 1 149 996 .034 1 .169 .995 .036 1 179 994 140 040 1 199 993 1 .042 1 .208 992.145 3 .044 1 218 991 2 .046 228 990 1 .050 1 247 989 .150 3 .052 1 .257 988 2 ,054 1 266 987 1 .056 2 018 999 .155 3 1 276 2 .058 2 .019 1 1 .285 984 .160 3 2060 2 020.999 2 1 .295 983 1 .022 999 .165 3 .304 982 2 .023 999 1 .314 981 .170 3 .024 999 979 .026 999 3 333 978 2 .027 999 1 .342 977 3 031 999 2 385 973 1 035 998 2003 388 969 2 .085 2 .040 998 1 .410 965 210 3 044 998 2 1 432 960 1 .095 2 049 997 220 3 1 454 955 2 .100 2 054 997 1 1 475 3 .105 2 059 2 1 496 1 2 3 2 1 3 .076 2 927 1 .082 .994 .260 .575 .920 089933 594914 .270 .095 933 .612 .907 .102 992280 630 900 .011 999 .109 .991.290 647 892 012 999 .115 .990 664 885 300 013 999 .123 .989 .680 877 015 .999 .310 .130 .988 .695 .869 .016 999 .137 987 .320 710 861 .017 .999 .145 .985 725 853 330 .021 .999 .161 983 .752 836 .024 998.340 .117 .980 778 819 .028 998 194 976 360 801 801 032 998 211 973 822.783 380 .036 997 229 969 842 765 .041 .997 .400 .247 .965 860 747 046 996 .265.960 .420 876 730 052 995 .284 .955 890 712 440 .058 .994440 3 238 960 303 950 2 .652 807 903 695 1 992 451 064 994 460 4 .045 995 323 944 3 266953 915 677 2 686 787 071 993 1 994 432 342 938 480 4 053 994 925 661 3 296945 007 999 2 .719 767 079992 1 996.415 362 932.500 4 .063 992 934 644 3 327 008 999 2 .750 .748 .086 1 997 926.520 4 073 942628 3 359 2 779 .094 989 1 .998 .402.919.540 4 085 989 950 613 3 392 917 .010 .999 2 .806 708 .108 .988 1998 370 422 912 560 4 .098 986 .956 597 3 426 906 012 999 2 831 689 .112 986 1 .999 .357 442 904 580 4 113 984 962 583 3 461 895 .013 .999 2 .854 670 .121 985 1 .999 345 462 896 .600 4 .130 981 967569 3 497 883 017 998 2 .875 652 .141 981 1 .999 353 501 880 650 4 .179 972 975 542 3 588 850 021 998 2 918 608 .163 976 1 999 308 540 863.700 4 240 960 981 516 3 .678 815 026 997 .186 .972 845 750 4 3 2 1 4 3 2 1 4 3 2 1 4 3 2 1 4 3 090 2 044 4 3 2 800 2 4 .031 211 616 826 989471 037 996 972 532 410 924 841 739 .987 500 2 4 (continued)