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 Toble 1. a. The expected number of customers waiting (Round your answer to 3 decimal places.) Expected number of customers walling 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 lenge of time days Check my work 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. 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 MDF XMD FX MD F X MDF TABLE 18.7 Finite queuing tables 260 2 3 3 238 960 994 920 058 303 082 575 090 2 2 65207 1 1 2 903 994440 950 595 994 460 944 1 933 914 270 933 1 3 4 064 992 451 045 995 256 953 686 787 095 2 2 323 3 Populations 125 012 1 DED999 019 1 095999 130 025 1 125 997 030 1 149 996 .135 034 1 169 995 1 179 994 140 040 1 993 012 . 1 208 992 .145 014 1 218 991 1 612 907 2 1 2 992280 3 994 102 1 432 006 30 4 2 199 900 1 053 996 011 3 999 1 3 915 677 071 993 342 938 480 925 661 007 999 079992 362 832 500 934 544 2 109 991 290 4 296945 719 787 996 415 2 1 1 046 547 1 3 050 1 228 990 247 989 257 588 .150 3 4 012 892 999 990 2 1 053 992 327 936 052 2 1 3 115 054 1 1 664 885 300 2 4 008 999 750 740 997 399 056 2 3 3 086 1 990 266 987 018 999.155 276 985 019 999 285 984 160 013 999 .123 909 1 2 2 4 326 520 058 2 1 1 382 942 2009 280 877 .015999 528 3 2. 1 3 310 4 999 073991 359 927 .779728 998 384 055 999 050 2 020 2 094 1 .130 969 695 869 3 2 989 919 540 1 295 1 402 4 999 980 999.165 982 062 2 3 016 999 1 950 613 1 2 320 4 010 999 022 304 023 314 3 2 1 392 917 805 700 998 370 064 2 999 1 3 .103 988 912 560 .170 3 4 1 2 981 999 2 1 422 956 .137 987 710 861 017 999 145 985 725 853 330 021 999 161 983 098 996 426 905 066 024 2 597 3 1 323 979 1 4 058 2 026 3 3 999.180 978 012 999 112.986 442 904 580 2 1 4 1 300 2 2 831 689 999 357 113 984 461 995 854 670 999 345 070 2 1 752 1 962 583 027 342 999 977 999 1 3 2 .190 024 836 998340 980 3 2 4 075 2 031 .117 3 1 1 973 1 778 819 2 800 013999 .121 985 452896 567 569 017 998 4 365 DG5 .130 981 080 2 998 200 3 028 1 3 497 88 388 969 2 4 2 875 B52 ,085 2 1 141 981 1 999 300 040 998 410 965 3 2 1 210 3 501 880 650 4 179 972 194 970 300 801 801 032 998 973 822 783 380 036 997 090 211 1 3 1 4 2 095 2 975 542 021 998 .163 976 540 863 700 981 516 3 2 1 588 850 918 608 999 308 .240 S60 678 315 1 229 969 4 100 2 765 1 3 044 998 2 432 960 1 049 997 220 3 454 955 2 054 997 1 .475 950 230 3 059997 2 496 45 1 065 9962403 516 939 2 1 .400 4 026 2 .105 2 950 588 999 286 3 .186 1 1 041 997 247 .955 860747 046996 265 950 2 997 972 845 750 493 997 4 316 944 .110 2 579 988 031 1 3 .763 777 1 .420 4 972 532 .115 2 2017 3 211 800 876 730 052 995 410 $24 1 37 966 826 995 1 930 250 3 995 2 927 1 NN 2 616 841 739 .120 2 284 955 076 .556 1 471 987 989 037 500 1 890 712 440 4 996