PLEASE USE THE DATA BELOW TO SOLVE THE QUESTIONS.

Customers enter the camera department of a store at the average rate of eight per hour. The department is staffed by one employee, who takes an average of 4.0 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. Use Exhibit 10.9. c. What is the probability that there are more than two people in the camera department (excluding the clerk)? (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) Probability d. Another clerk has been hired for the camera department who also takes an average of 4 minutes to serve each arrival. How long would a customer expect to spend in the department now? (Round your answer to 1 decimal place. Use the closest value of Nu in Exhibit 10.9 when determining Lq (i.e., do not interpolate).) Average total time minutes Exhibit 10.9 Excel: Expected Length alp S La Po S S La 2/ 0.55 0.15 0.85 1 P. 0.150 0.404 2 3 0.20 0.60 4 1 0.25 0.90 3 0.30 0.65 2 3 4 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 0.35 0.95 P. 0.450 0.569 0.576 0.400 0.538 0.548 0.350 0.509 0.521 0.300 0.481 0.495 0.250 0.455 0.471 0.200 0.429 0.70 1 2. 1 2 1 2 1 2 1 2 1 2. 1 2 3 1 2 3 2 3 4 5 2 3 0.40 4 0.026 0.001 0.050 0.002 0.083 0.004 0.129 0.007 0.188 0.011 0.267 0.017 0.368 0.024 0.002 0.500 0.033 0.003 0.675 0.094 0.016 0.003 0.951 0.130 0.023 0.004 0.850 0.860 0.800 0.818 0.750 0.778 0.700 0.739 0.650 0.702 0.600 0.667 0.550 0.633 0.637 0.500 0.600 0.606 0.250 0.294 0.300 0.301 0.212 0.264 0.271 0.272 0.45 0.75 La 0.672 0.045 0.004 0.900 0.059 0.006 1.207 0.077 0.008 1.633 0.098 0.011 2.250 0.123 0.015 3.200 0.152 0.019 0.084 0.021 2.589 0.431 0.105 0.027 0.007 3.511 1.00 N 4.817 0.187 0.024 0.003 8.100 0.229 0.030 0.004 18.050 0.277 0.037 0.005 0.333 0.045 0.007 0.477 0.066 0.011 3.027 0.615 0.174 0.052 0.015 3.906 0.737 0.209 0.425 0.427 0.100 0.379 0.403 0.406 0.050 0.356 0.383 0.386 0.333 0.364 0.367 0.290 0.327 0.332 0.023 0.033 0.036 0.037 0.037 0.019 0.029 0.032 3 0.50 0.80 3 4 2 3 4 1.10 N w 1.20 3.30 2.40 3 5 6 3 4 5 6 7 3 4 5 6 7 w 0.447 0.099 0.100 0.056 0.083 0.089 0.090 0.091 0.045 1.30 N 8 5 6 3.40 4 5 4 5 2.50 6 1.40 7 00 3.50 1.50 2 3 4 5 2 3 4 5 2 R.60 1.60 3.60 3 2.70 4 1.70 5 2 3 4 5 2 2.80 3.70 1.80 2 1.345 0.177 0.032 0.006 1.929 0.237 0.045 0.009 2.844 0.313 0.060 0.012 4.426 0.409 0.080 0.017 7.674 0.532 0.105 0.023 17.587 0.688 0.136 0.030 0.007 0.889 0.174 0.040 0.009 1.149 0.220 0.052 0.012 0.176 0.236 0.245 0.246 0.143 0.211 0.221 0.223 0.111 0.187 0.199 0.201 0.081 0.166 0.180 0.182 0.053 0.146 0.162 0.165 0.026 0.128 0.145 0.149 0.149 0.111 0.130 0.134 0.135 0.096 0.117 0.121 0.122 4 5 6 7 3 4 5 6 7 3 4 5 6 7 3 4 5 6 7 3 4 5 6 7 4 5 6 7 8 4 5 6 7 0.533 0.130 0.034 0.009 4.933 0.658 0.161 0.043 0.011 7.354 0.811 0.198 0.053 0.014 12.273 1.000 0.241 0.066 0.018 27.193 1.234 0.293 0.081 0.023 1.528 0.354 0.099 0.028 0.008 1.902 0.427 0.120 0.035 0.074 0.080 0.082 0.082 0.035 0.065 0.072 0.074 0.074 0.025 0.057 0.065 0.067 0.067 0.016 0.050 0.058 0.060 0.061 0.008 0.044 0.052 0.054 0.055 0.038 0.047 0.049 0.050 0.050 0.032 0.042 0.044 0.045 0.063 0.019 5.165 0.882 0.248 0.076 0.023 0.007 7.090 1.055 0.295 0.019 0.028 0.008 10.347 1.265 0.349 0.109 0.034 0.010 16.937 1.519 0.412 0.129 0.041 0.013 36.859 1.830 0.485 0.153 0.050 0.016 2.216 4 5 6 7 8 9 4 5 6 7 8 9 4 5 6 7 8 9 4 5 6 7 8 9 4 5 6 7 8 9 5 0.033 0.033 0.015 0.026 0.029 0.030 0.030 0.030 0.011 0.023 0.026 0.027 0.027 0.027 0.008 0.020 0.023 0.024 0.025 0.025 0.005 0.017 0.021 0.022 0.022 0.022 0.002 0.015 0.019 0.020 0.020 0.020 0.013 5 2.90 4 5 2. 3 1.90 3.80 3 4 5 6 3.00 2.00 3 3 3.90 4 5 6 3 4 2.10 3.10 6 5 6 4.00 5 2.20 00 3.20 3 4 5 6 3 4 6 7 8 9 5 6 0.017 0.018 0.018 0.018 0.011 0.015 2.30 4.10 9 0.004 0.004 10 0.005 0.005 4.20 8 4 5 6 7 8 6 7 8 9 10 5 6 7 8 9 10 7 8 9 5 6 7 8 9 5 5.50 11 12 6 7 8 9 4.90 0.010 2.386 0.513 0.145 0.043 0.012 2.071 0.607 0.209 0.074 0.026 46.566 2.459 0.702 0.242 0.087 0.031 0.011 2.938 0.810 0.279 0.101 0.036 0.013 3.536 10 10 1.491 0.277 0.066 0.016 1.951 0.346 0.212 0.070 0.023 3.327 0.784 0.248 0.083 0.027 0.009 4.149 0.919 0.289 0.097 0.033 0.011 5.268 1.078 0.337 0.114 0.039 0.013 6.862 1.265 0.391 0.134 0.046 0.015 4.30 0.081 0.105 0.109 0.111 0.068 0.093 0.016 0.016 0.017 0.009 0.013 0.014 0.015 0.015 0.015 0.008 0.012 0.130 0.013 0.014 0.014 0.006 0.010 0.012 0.012 0.012 0.012 0.005 0.009 0.010 0.011 0.011 0.011 5 0.002 0.003 0.004 0.004 0.004 0.004 0.004 0.001 0.003 0.045 0.027 0.037 0.040 0.040 0.041 0.006 0.008 0.008 0.008 0.008 0.001 0.005 0.007 0.007 0.007 0.007 0.007 0.005 0.006 0.006 0.007 0.007 0.007 0.004 0.005 0.006 0.006 0.006 0.006 0.003 0.005 0.005 11 12 6 0.570 0.180 0.059 0.019 2.703 0.668 0.178 0.066 0.024 0.009 8.590 1.674 0.553 0.204 0.077 0.028 0.010 11.519 1.944 0.631 0.233 0.088 0.033 0.012 16.446 2.264 0.721 0.266 0.102 0.038 0.014 26.373 2.648 11 5.60 5.00 7 6 7 8 9 10 8 9 10 11 0.003 0.004 0.004 0.004 4.40 5 6 7 8 9 10 5 6 7 8 9 10 5 6 7 8 9 10 5 11 12 0.004 8 5.10 5.70 0.936 6 7 8 9 10 4.50 6 7 8 9 10 11 12 6 7 0.321 0.117 0.042 0.015 4.301 1.081 0.368 0.001 0.002 0.003 0.003 0.003 0.003 0.003 0.001 0.002 11 5.20 6 7 8 5.80 00 4.60 5 6 7 8 5.30 9 10 9 10 11 6 7 8 9 10 11 5.90 9.289 1.487 0.453 0.156 0.054 0.018 13.382 1.752 0.525 0.181 0.064 0.022 21.641 0.135 0.049 0.018 5.303 1.249 0.422 0.155 0.057 0.021 0.007 6.661 0.004 0.008 0.009 0.010 0.010 0.010 0.003 0.007 0.008 0.009 0.009 0.009 0.002 8 9 10 11 12 6 7 8 9 10 11 12 4.70 0.005 0.005 0.006 0.003 0.004 0.005 0.005 0.005 0.005 0.005 0.002 0.004 0.004 0.823 0.303 0.116 0.044 0.017 56.300 3.113 0.939 0.345 0.133 0.051 0.019 5 0.003 0.003 0.003 0.003 0.003 0.000 0.002 0.002 0.003 0.003 0.003 0.003 6 7 8 12 5.40 9 10 5 6 7 1.444 4.80 8 0.483