Trucks are required to pass through a weighing station so they can be checked for weight violations. Trucks arrive at the station at the rate of 22 an hour between 7:00 p.m. and 9:00 p.m. Currently two inspectors are on duty during those hours, each of whom can inspect 20 trucks an hour. Use Table 18.4. a. How many trucks would you expect to see at the weighing station, including those being inspected? (Round your answer to 3 decimal places.) b.If a truck was just arriving at the station, about how many minutes could the driver expect to be at the station? (Round your answer to 2 decimal places.) c. What is the probability that both inspectors would be busy at the same time?(Round your answer to 4 decimal places.) d. How many minutes, on overoge, would o truck that is not immediately inspected have to wait? (Round your onswer to the nearest whole number) f. What is the maximum line length for a probability of 95 ? (Round up your answer to the next whole number.) \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & M & Lq & P0 & & M & Lq & P0 & & M & Lq & P0 \\ \hline \multirow[t]{2}{*}{0.15} & 1 & 0.026 & $50 & 1.1 & 2 & 0.477 & 290 & & 6 & 0.021 & .100 \\ \hline & 2 & 0.001 & .860 & & 3 & e0.066 & .327 & 2.4 & 3 & 2.589 & 056 \\ \hline \multirow[t]{2}{*}{0.20} & 1 & 0.050 &.s00 & & 4 & 0.011 & .332 & & 4 & 0.431 & .083 \\ \hline & 2 & 0.002 & s1s & 1.2 & 2 & 0.675 & .250 & & 5 & 0.105 & .089 \\ \hline \multirow[t]{2}{*}{0.25} & 1 & 0.083 & .750 & & 3 & 0.094 & .294 & & 6 & 0.027 & .090 \\ \hline & 2 & 0.004 & .778 & & 4 & 0.016 & .300 & & 7 & 0.007 & .091 \\ \hline \multirow[t]{2}{*}{0.30} & 1 & 0.129 & .700 & & 5 & 0.003 & .301 & 2.5 & 3 & 3.511 & .045 \\ \hline & 2 & 0.007 & 739 & 1.3 & 2 & 0.951 & 212 & & 4 & 0.533 & .074 \\ \hline \multirow[t]{2}{*}{0.35} & 1 & 0.188 & .650 & & 3 & 0,130 & 264 & & 5 & 0.130 & .080 \\ \hline & 2 & 0.011 & .702 & & 4 & 0.023 & .271 & & 6 & 0.034 & .082 \\ \hline \multirow[t]{2}{*}{0.40} & 1 & 0.267 & .600 & & 5 & 0.004 & .272 & & 7 & 0.009 & .082 \\ \hline & 2 & 0.017 & .667 & 1.4 & 2 & 1.345 & 176 & 2.6 & 3 & 4.933 & .035 \\ \hline \multirow[t]{3}{*}{0.45} & 1 & 0.368 & .550 & & 3 & 0.177 & .236 & & 4 & 0.658 & .065 \\ \hline & 2 & 0.024 & .633 & & 4 & 0.032 & .245 & & 5 & 0.161 & .072 \\ \hline & 3 & 0.002 & 637 & & 5 & 0.006 & .246 & & 6 & 0.043 & .074 \\ \hline 0.50 & 1 & 0.500 & .500 & 1.5 & 2 & 1.929 & .143 & & 7 & 0.011 & 074 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & 2 & 0.033 & 600 & & 3 & 0.237 & .211 & 2.7 & 3 & 7,354 & .025 \\ \hline & 3 & 0.003 & 606 & & 4 & 0.045 & .221 & & 4 & 0.811 & \\ \hline \multirow[t]{3}{*}{0.55} & 1 & 0.672 & .450 & & 5 & 0.009 & 223 & & 5 & 0.198 & \\ \hline & 2 & 0.045 & .569 & 1.6 & 2 & 2.844 & .111 & & 6 & 0.053 & \\ \hline & 3 & 0.004 & .576 & & 3 & 0.313 & .187 & & 7 & 0.014 & 067 \\ \hline \multirow[t]{3}{*}{0.60} & 1 & 0.900 & .400 & & 4 & 0.060 & 199 & 2.8 & 3 & 12.273 & .016 \\ \hline & 2 & 0.059 & 53s & & 5 & 0.012 & .201 & & 4 & 1.000 & 50 \\ \hline & 3 & 0.006 & .548 & 1.7 & 2 & 4.426 & .081 & & 5 & 0.241 & .058 \\ \hline \multirow[t]{3}{*}{0.65} & 1 & 1.207 & .350 & & 3 & 0.409 & .166 & & 6 & 0.066 & .060 \\ \hline & 2 & 0.077 & .509 & & 4 & 0.080 & .180 & & 7 & 0.018 & .0 \\ \hline & 3 & 0.008 & .521 & & 5 & 0.017 & .182 & 2.9 & 3 & 27.193 & .0 \\ \hline \multirow[t]{3}{*}{0.70} & 1 & 1.633 & .300 & 1.8 & 2 & 7.674 & .053 & & 4 & 1.234 & \\ \hline & 2 & 0.098 & 481 & & 3 & 0.532 & .146 & & 5 & 0.293 & 0 \\ \hline & 3 & 0.011 & .495 & & 4 & 0.105 & .162 & & 6 & 0.081 & 0 \\ \hline \multirow[t]{3}{*}{0.75} & 1 & 2.250 & .250 & & 5 & 0.023 & .165 & & 7 & 0.023 & .05 \\ \hline & 2 & 0.123 & 455 & 1.9 & 2 & 17.587 & 026 & 3.0 & 4 & 1.528 & 0 \\ \hline & 3 & 0.015 & 47 & & 3 & 0.68 & 128 & & 5 & 0.354 & 0 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & 4 & 0.007 & .367 & & 5 & 0.084 & .099 & & 8 & 0.015 & .037 \\ \hline \multirow[t]{5}{*}{3.4} & 4 & 3.906 & .019 & 4.3 & 7 & 0.289 & .130 & 5.2 & 6 & 4.301 & .003 \\ \hline & 5 & 0.737 & .029 & & 8 & 0.097 & .013 & & 7 & 1.081 & .005 \\ \hline & 6 & 0.209 & .032 & & 9 & 0.033 & .014 & & 8 & 0.368 & .005 \\ \hline & 7 & 0.063 & .033 & & 10 & 0.011 & .014 & & 9 & 0.135 & .005 \\ \hline & s & 0.019 & .033 & 4.4 & 5 & 5.268 & .006 & & 10 & 0.049 & .005 \\ \hline \multirow[t]{6}{*}{3.5} & 4 & 5.165 & .015 & & 6 & 1.078 & .010 & & 11 & 0.018 & .006 \\ \hline & 5 & 0.582 & .026 & & 7 & 0.337 & .012 & 5.3 & 6 & 5.303 & .003 \\ \hline & 6 & 0.24S & .029 & & 8 & 0.114 & .012 & & 7 & 1.249 & .004 \\ \hline & 7 & 0.076 & .030 & & 9 & 0.039 & .012 & & 8 & 0.422 & .005 \\ \hline & s & 0.023 & .030 & & 10 & 0.013 & .012 & & 9 & 0.155 & .005 \\ \hline & 9 & 0.007 & .030 & 4.5 & 5 & 6.862 & 005 & & 10 & 0.057 & \\ \hline \multirow[t]{5}{*}{3.6} & 4 & 7.090 & .011 & & 6 & 1.265 & .009 & & 11 & 0.021 & \\ \hline & 5 & 1.055 & .023 & & 7 & 0.391 & .010 & & 12 & 0.007 & .005 \\ \hline & 6 & 0.295 & .026 & & s & 0.134 & .011 & 5.4 & 6 & 6.661 & 002 \\ \hline & 7 & 0.019 & .027 & & 9 & 0.046 & .011 & & 7 & 1.444 & \\ \hline & 8 & 0.028 & .027 & & 10 & 0.015 & .011 & & s & 0.483 & \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multirow[b]{2}{*}{3.7} & 9 & 0.00s & .027 & \multirow[t]{2}{*}{4.6} & \multirow{2}{*}{\begin{tabular}{l} 5 \\ 6 \end{tabular}} & \multicolumn{2}{|c|}{9,289.004} & & 0.1/8 & .004 \\ \hline & 4 & 10.347 & .00S & & & 1.487 & .008 & & 10 & 0.066 & .004 \\ \hline & 5 & 1.265 & .020 & & 7 & 0.453 & .009 & & II & 0.024 & .005 \\ \hline & 6 & 0.349 & .023 & & 8 & 0.156 & .010 & & 12 & 0.009 & 005 \\ \hline & 7 & 0.109 & .024 & & 9 & 0.054 & .010 & 5.5 & 6 & 8.590 & 002 \\ \hline & s & 0.034 & .025 & & 10 & 0.018 & .010 & & 7 & 1.674 & .003 \\ \hline & 9 & 0.010 & .025 & 4.7 & 5 & 13.382 & .003 & & 8 & 0.553 & 004 \\ \hline 3.5 & 4 & 16.937 & .005 & & 6 & 1.752 & .007 & & 9 & 0.204 & 004 \\ \hline & 5 & 1.519 & 017 & & 7 & 0.525 & .008 & & 10 & 0.077 & 004 \\ \hline & 6 & 0.412 & .021 & & 8 & 0.181 & .009 & & 11 & 0.028 & 004 \\ \hline & 7 & 0.129 & .022 & & 9 & 0.064 & .009 & & 12 & 0.010 & 004 \\ \hline & s & 0.041 & .022 & & 10 & 0.022 & 009 & 5.6 & 6 & 11.519 & 001 \\ \hline & 9 & 0.013 & .022 & 4.8 & 5 & 21.641 & .002 & & 7 & 1.944 & .003 \\ \hline 3.9 & 4 & 36.859 & .002 & & 6 & 2.071 & .006 & & S & 0.631 & 3 \\ \hline & 5 & 1.830 & .015 & & 7 & 0.607 & .008 & & 9 & 0.233 & 004 \\ \hline & 6 & 0.485 & 019 & & 8 & 0.209 & .008 & & 10 & 0.088 & 4 \\ \hline & 7 & 0.153 & .020 & & 9 & 0.074 & .008 & & 11 & 0.033 & \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & 9 & 0.016 & 020 & 4.9 & 5 & 46.566 & .001 & 5.7 & 6 & 16.446 & .001 \\ \hline \multirow[t]{5}{*}{4.0} & 5 & 2.216 & 013 & & 6 & 2.459 & .005 & & 7 & 2.264 & .002 \\ \hline & 6 & 0.570 & 017 & & 7 & 0.702 & .007 & & s & 0.721 & 3 \\ \hline & 7 & 0.150 & .015 & & 8 & 0.242 & .007 & & 9 & 0.266 & \\ \hline & 8 & 0.059 & 018 & & 9 & 0.087 & .007 & & 10 & 0.102 & 3 \\ \hline & 9 & 0.019 & .018 & & 10 & 0.031 & .007 & & 11 & 0.038 & 3 \\ \hline \multirow[t]{5}{*}{4.1} & 5 & 2.703 & 011 & & II & 0.011 & .007 & & 12 & 0.014 & \\ \hline & 6 & 0.668 & .015 & 5.0 & 6 & 2.938 & .005 & 5.8 & 6 & 26.373 & )1 \\ \hline & 7 & 0.212 & .016 & & 7 & 0.810 & .006 & & 7 & 2.64S & .002 \\ \hline & s & 0.070 & .016 & & s & 0.279 & .006 & & s & 0.823 & .003 \\ \hline & 9 & 0.023 & 017 & & 9 & 0.101 & .007 & & 9 & 0.303 & .003 \\ \hline \multirow[t]{5}{*}{4.2} & 5 & 3.327 & .009 & & 10 & 0.036 & .007 & & 10 & 0.116 & 03 \\ \hline & 6 & 0.784 & .013 & & 11 & 0.013 & .007 & & 11 & 0.044 & .003 \\ \hline & 7 & 0.248 & .014 & 5.1 & 6 & 3.536 & .004 & & 12 & 0.017 & 00 \\ \hline & 8 & 0.083 & 015 & & 7 & 0.936 & .005 & 5.9 & 6 & 56.300 & .00 \\ \hline & 9 & 0.027 & 015 & & 8 & 0.321 & .006 & & 7 & 3.113 & \\ \hline \end{tabular}
