Customers enter the camera department of a store at the average rate of six per hour. The department is staffed by one employee, who takes an average of 8.0 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. Use Exhibit 7.12.

a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? (Round your answer to 2 decimal places.)

Number of people

a-2. How long would a customer expect to spend in the camera department (total time)? (Do not round intermediate calculations. Round your answer to 1 decimal place.)

Average total time minutes

b. What is the utilization of the clerk? (Do not round intermediate calculations. Round your answer to 1 decimal place.)

Utilization %

c. What is the probability that there are more than two people in the camera department (excluding the clerk)? (Do not round intermediate calculations. Round your answer to 1 decimal place.)

Probability %

d. Another clerk has been hired for the camera department who also takes an average of 8.0 minutes to serve each arrival. How long would a customer expect to spend in the department now? (Do not round intermediate calculations. Round your answer to 1 decimal place. Use the closest value of / in Exhibit 7.12 when determining Lq (i.e., do not interpolate).)

Average total time minutes

exhibit 7.12 Expected Number of People Waiting in Line (L.) for Various Values of Sand // NUMBER OF SERVICE CHANNELS, S Melsverre 3.0 / 5 6 7 8 9 10 12 13 14 15 0.10 0.011 0.15 0.0264 0.0006 0.20 0.0500 0.0020 0.25 0.0833 0.0039 0.30 0.1285 0.0069 0.35 0.1884 0.0110 0.40 0.2666 0.0166 0.45 0.3681 0.0239 0.0019 Employee 050 0.5000 0.0333 0.0030 0.55 0.6722 0.045 0.0043 Sharon 0.60 0.9090 0.0593 0.0061 0.65 1.2071 0.0767 0.0084 Excel: 0.70 1.6333 0.0976 0.0112 Expected 0.75 2.2500 0.1227 0.0147 0.80 3.2000 0.1523 0.0189 Length 0.85 4.8165 0.1873 0.0239 0.0031 0.90 8.1000 0.2285 0.0300 0.0041 0.95 18.0500 0.2767 0.0371 0.0053 1.0 0.3333 0.0454 0.0067 12 0.6748 0.0940 0.0158 14 13449 0.1778 0.0324 0.0059 1.6 2.8441 0.3128 0.0604 0.0121 1.8 7.6731 0.5320 0.1051 0.0227 0.0047 2.0 0.8888 0.1730 0.0390 0.0090 2.2 1.4907 0.2770 0.066 0.0158 2.4 2.1261 0.4205 0.1047 0.0266 0.0065 2.6 4.9322 0.6581 0.1609 0.0425 0.0110 2.8 12.2724 1.0000 0.2411 0.0659 0.0180 1.5282 0.3541 00991 0.0282 0.0077 3.2 2.3855 0.5128 0.1452 0.0427 0.0122 3.4 3.9060 0.7365 0.2085 0.0631 0.0189 3.6 7.0893 10550 0.2947 0.0912 0.0283 0.0084 3.8 16.9366 15181 0.4114 0.1292 0.0412 0.0127 4.0 2.2164 05694 0.1801 0.0590 0.0189 4.2. 3.3269 07837 0.2475 0.0827 0.0273 0.0087 4.4 52675 1.0777 0.3364 0.1142 0.0389 0.0128 4.6 9.2885 14857 0.4532 0.1555 0.0541 0.0184 4.8 21.6384 2.0708 0.6071 0.2092 0.0742 0.0260 5.0 2.9375 0.8102 0.2785 0.1006 0.0361 0.0125 5.2 4.3004 10804 0.3680 0.1345 0,0492 0.0175 5.4 6.6609 1.4441 0.5871 0.1779 0.0663 0.0243 0.0085 5.6 11.5178 1.9436 0.6313 0.2330 0.0683 0.0330 0.0119 5.8 263726 2.6481 0.8225 0.3032 0.1164 0.0443 0.0164 6.0 3.6878 1.0707 0.3918 0.1518 0.0590 0.0224 6.2 52979 13967 0.5037 0.1964 0.0775 0.0300 0.013 64 8.0768 18040 0.6454 0.2524 0.1008 0.0398 0.0153 6.6 13.7992 24198 0.8247 03222 0.1302 0.0523 0.0205 6.8 31.1270 3.2441 10533 04090 0.1666 0.0679 0.0271 0.0105 7.0 4.4471 1347105172 0.2119 0.0876 0.0357 0.0141 7.2. 6.3133 17288 0.6521 0.2677 0.1119 0.0463 0.0187 7.4 9.5102 2.2324 0.8202 0.3364 0.1420 0.0595 0.0245 0.0097 7.6 16.0379 2.9113 10310 0.4211 0.1789 0.0761 0.0318 0.0129 7.8 35.8956 3.8558 1.2972 0525002243 0.0966 0.0410 0.0168 8.0 5.2264 16364 0.6530 0.2796 0.1214 0.0522 0.0220 8.2 7.3441 2.0736 0.8109 03469 0.1520 0.0663 0.0283 8.4 10.9592 2.6470 10060 0.4288 0.1891 0.0834 0.0361 8.6 18.3223 3.4160 1.2484 0.5236 0.2341 0.1043 0.0459 8.8 40.6824 4.4805 15524 0.6501 0.2885 0.1208 0.0577 9.0 6.0183 1.9366 07980 0.3543 0.1603 0.0723 9.2 8.3869 24293 0.9788 0.4333 0.1974 0.0899 9.4 12.4183 3.0732 1.2010 0.5267 0.2419 0.1111 9.6 20.6160 3.9318 1.4752 0.5437 0.2952 0.1367 9.8 45.4769 5.1156 1.8165 0.7827 0.3699 0.16731 6.8210 2.2465 0.9506 04352 204