Question: 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

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 One field representative services 5 customers for 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 FX MDF X MDF TABLE 18.7 Finite-queuing tables .125 058 994 440 2 1 2 303 3 2 950 .130 1 460 .1352 4 3 w - NW-N 999 998 997 996 995 994 993 992 991 990 140 Population 5 .012 1 060 .019 1 .095 .025 1 125 .030 1 149 .034 1 .169 .036 1 179 .040 1 199 .042 1 .208 ,044 1 218 .046 1 228 ,050 1 .247 .052 1 .054 1 2 1 480 4 3 .145 2 1 3 2 1 3 2 1 903 695 064 994 323 944 915 677 .071 993 342938 925 661 .007999 079 992 362 932 934 644 008 999 086990 382 926 .942.628 .009.999 094 989 402 919 .150 500 4 257 .155 1 3 -278 -NU- 160 .019 .999 .984 .020999 .295 983 ,022 999 NU 540 N 4 3 2 1 3 2 .165 .950 .613 304 .170 .023 .314 .024 .323 .026 999 981 999 979 .999 -NG- 3 2 1 3 2 .082 994 260 3 .575 920 089933 .594 914 3 095 933 .612 907 1 .102 .992 .280 3 630 .900 011 999 1 109 991.290 4 647 3 .012 -999 2 .115 .990 1 664 885 013 .999 .123 989 .680 877 .015999 .130 988 695 869 .016 999 .137 .987 710 .017 .145 .985 725 853 .021 .999 .161 983 2 .752,836 1 .024 998 340 4 117 980 3 778 819 2 .028 998 1 .194 .976 360 4 801 801 3 032 2 211 1 822 783 380 4 .036 .997 3 229 969 2 842 765 1 041 .400 4 247 965 3 860 747 2 .046 996 1 .265 .960 .420 4 876 730 3 052 995 2 .284 955 1 890 .712 .4404 238 960 .652 807 992 .451 045 995 266 953 .686 787 994.432 053 994 296 945 719 767 996 415 .063 992 327 936 .750 748 .997 399 .073 991 359 927 .779 728 .998 384 .085 .999 392 .917 .806 708 1998 370 ,098 986 426 906 831 689 .999 357 .113 984 461 895 .854 670 .999 345 .130 981 497 883 .875 652 .999 333 .179 972 588 850 .918 608 .999 308 240 960 .678 815 -950 568 .999 .286 316 944 .763 777 .972 532 410 924 841 739 987 .500 .068 2 .180 333 978 .070 2 1 0752 080 2 .0852 1998 .103 988 .422 912 5604 .956 597 2012 999 112 986 .442 904 580 4 962 583 013 .999 121 985 462 896 .600 4 967 569 3 017 998 .141 981 501 880 .650 4 975 542 021 998 163 976 540 863 4 981 516 026 997 .186 .972 579 845 750 4 986 493 031 997 211 966 800 4 616 826 3 989 471 2 037 996 .090 .095 .027 .999 .342 977 031 999 365 973 .035 998 .388 969 040 998 .410 965 .044 998 432 960 049 997 454 955 .054 997 .475 950 059 997 496 945 065 996 .516 939 017 995 537 933 076 995 556 927 2 1 2 1 2 1903 2 1 200 3 2 1 .210 3 2 1 220 3 2 1 230 3 2 1 240 3 2 1 2503 2 1 .100 105 .110 2 1 2 1 2 1 .115 .120 2 1 (continued)

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