18-6

pleaae show work

Problem 18-6 (Algo) 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 33 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 30 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.) trucks 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.) w min c. What is the probability that both inspectors would be busy at the same time?(Round your answer to 4 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 average, would a truck that is not immediately inspected have to wait? (Round your answer to the nearest whole number.) min f. What is the maximum line length for a probability of 96? (Round up your answer to the next whole number.) Iq P M Lq Po L Po 0.15 1 0.026 850 1.1 2. 0477 290 6 0021 100 2 0001 S60 30.066 327 2.4 3 2.589 056 0.20 1 0.050 500 4 0.011 332 4 0.431 083 2 0.002 SIS 1.2 2 0.675 250 5 0.105 089 0.25 1 0.083 750 3 0.094 294 6 0.027 090 2 0.004 775 + 0.016 300 7 0.007 091 0.30 1 0.129 .700 0.003 301 2.5 3 3511 045 5 2 2 0.007 739 1.3 0.951 212 4 0.533 .074 0.35 1 0.135 650 3 0.130 264 5 0.130 OSO 2 0.011 702 4 0.023 271 6 0.034 082 0.40 1 0.267 000 5 0.004 272 7 0.009 OS2 2 0.017 66714 2 1.345 176 2.6 3 4.933 035 0.45 1 0.368 550 3 0.177 236 4 0.658 065 2 0.024 633 4 0.032 245 5 0.161 072 3 0.002 637 5 0.006 246 6 0.043 .074 0.50 1 0.500 500 1.5 2 1.929 143 7 0.011 .074 2 0.033 600 0.237 211 2.7 7.354 025 3 0.003 606 3 4 5 0.045 221 4 O.SI 057 0.55 1 0.672 450 0.009 223 5 0.198 065 2 0.015 569 1.6 2 2.844 111 6 0.053 067 0.004 576 3 0.313 187 7 0.014 007 0.60 1 0.900 400 4 0.000 199 26 3 12.273 016 2 0.059 538 5 0.012 201 4 1.000 050 3 0.006 545 1.7 2 4.426 OS 1 S 0.241 OSS 0.65 1 1.207 350 3 0.409 166 6 0.006 060 2 0.077 509 4 0.050 .150 7 0.018 .061 3 0.005 521 5 0.017 152 29 3 27.193.00 0.70 1 1.633 300 1.5 2 7.674 053 4 1.234 044 2 0,098 .451 3 0.532 146 5 0.293 052 3 0.011 495 4 0.105 162 6 0.031 054 0.75 1 2.250 .250 5 0023 165 7 0.023 .055 on 14e/chapter 18/Chapter 18_lable_18.4.png 0.75 1 2.250 250 5 0.023 165 7 0.023 055 2 0.123 455 1.9 2 17.587 026 3.0 4 1.525 SEO 3 0.015 471 3 0.6SS 125 5 0.354 047 OSO 1 3.200 200 4 0.136 145 6 0.099 610 2 0.152 429 5 0.030 149 7 0.023 050 3 0.019 447 6 0.007 149 S 0.005 OSO 0.85 1 4.817 150 2.0 3 0.859 111 3.1 1.902 032 4 5 2 0.187 TOP 4 0.174 130 0.427 042 3 0.024 425 5 oto 0 134 6 0.120 110 4 0.003 427 6 0.009 135 7 0.035 045 0.90 1 8.100 100 2.1 3 1.149 096 $ 0.010 045 2 0.229 379 4. 0.220 117 3.2 t 2.356 027 3 0.030 403 5 0.052 121 $ 0.513 037 4 0.004 406 6 0.012 122 6 0.145 040 0.95 1 15.050 050 22 3 1.491 ISO 7 0.013 040 2 0.277 356 4 0.277 105 S 0.012 041 3 0.037 383 5 0.066 10933 4 3.027 ECO 4 0.005 336 6 0.016 III 5 0615 CEO 1.0 2 CEEO EZ EEE 3 1.951 065 6 0 174 036 0.045 364 4 0.346 093 7 0.052 037 4 0.007 367 5 0.034 099 S 0.015 LEO 3.4 3.906 01943 7 0.259 130 5.2 6 4.301 003 5 0.737 029 09 0.097 2013 7 1901 005 6 0.209 032 6 0.033 014 S 0.368 005 7 0.003 033 10 0.011 9 0.135 005 0.019 033 4.4 5 5.268 .006 6100 01 005 3.5 5.165 015 1.075 010 11 0.01S .006 S 0.582 026 7 0.337 0125.3 6 5.303 003 6 0.240 029 8 0.114 012 7 1.249 004 7 0.070 .030 9 0.039 012 S 0.422 005 S 0.023 030 10 0.013 012 9 0.135 005 0.007 03045 6.862 005 10 0.057 005 9 0.007 030 4.5 5 6.862 005 10 0.057 .005 3.6 4 7.090 011 6 1.265 .009 11 0.021 005 5 1.055 023 7 0.391 010 12 0.007 005 6 0.295 026 S 0.134 011 5.4 6 6.661 .002 7 0019 027 9 0.046 011 7 1.444 004 S 0.028 027 10 0.015 011 S 0.483 004 9 0.008 027 4.6 9.259 .004 9 0.178 004 5 6 3.7 4 10.347 .008 1.487 005 10 0066 004 5 1.265 020 7 0.453 009 11 0.024 005 6 0.349 023 S 0.156 010 12 0.009 005 7 0.109 024 9 0.054 0105.5 6 S.590 002 S 0.034 025 10 0.018 010 7 1.674 003 9 5 13.352003 S 004 0.010 .0254.7 16.937 005 0.553 0.204 3.8 4 6 1.752 007 9 004 5 1.519 017 7 0.525 OOS 10 0.077 004 6 0.412 021 0.181 009 11 0.028 004 7 0.129 022 9 0.064 009 12 0.010 004 S 0.041 022 10 0.022 009 5.6 6 11 519 001 9 0.013 022 4.8 5 21.641 002 7 1.944 003 3.9 4 36.859.002 6 2.071 006 ca 0.631 003 5 1.830 015 7 0.007 003 9 0.233 004 6 0.485 019 S 0.209 008 10 0.0SS 004 7 0.153 020 9 0.074 005 11 0.033 .004 S 0.050 020 10 0.020 008 12 0.012 004 9 0.016 020 4.9 5 46.566 001 5.7 6 16.446 001 4.0 S 2.216 013 6 2.459 005 7 2.261 002 6 0.570 017 7 0.702 007 S 0.721 003 7 0.130 018 S 0.242 007 9 0.266 003 S 0.059 018 9 0.057 007 10 0.102 003 9 0.019 LOIS 10 0.031 007 11 0038 003 2.703 011 11 0.011 007 12 0.014 003 D 0.663 015 5.0 D 2.938 005 5.8 0 26.373 001 0.034 025 10 0.018 010 1.0/4 2003 9 0.010 025 4.7 5 13.382 003 S 0.553 004 3.8 4 16.937 .005 6 1.752 .007 9 0.204 004 5 1.519 2017 7 0.525 005 10 0.077 004 6 0.412 021 ca 0.181 .009 II 0.028 .004 7 0.129 022 9 0.064 009 12 0.010 .004 S 0.041 022 10 0.022 009 5.6 6 11.519 .001 9 0.013 02248 5 21.641 002 7 1.944 .003 3.9 4 36.859 .002 6 2.071 006 CD 0.631 003 5 1.830 015 7 0.607 LOOS 9 0.233 004 6 0.455 019 0.209 00S 10 0.0SS 004 7 0.153 020 9 0.074 00S 11 0.033 004 S 0.050 020 10 0.026 00S 12 0.012 004 9 0.016 020 4.9 5 46.566 .001 5.7 6 16.446 001 4.0 5 2.216 013 6 2.459 2005 7. 2.264 002 6 0.570 017 7 0.702 007 0.721 1003 7 0.1 SO O1S S 0.242 007 9 0.266 003 S 0.059 013 9 0.087 2007 100.102 003 9 0.019 018 10 0.031 007 11 0.038 003 5 2.703 011 11 0.011 .007 12 0.014 003 6 0.668 0155.0 6 2.935 005 5.8 6 26.373 001 7 0.212 016 7 0.810 .006 7 2.648 002 3 0.070 2016 S 0.279 006 09 0.823 003 9 0023 017 9 0.101 007 9 0.303 003 4.2 5 3.327 009 10 0.036 007 10 0.116 003 6 0.754 013 11 0.013 007 0.044 003 7 0.248 014 5.1 6 3.536 004 12 0.017 003 S 0053 015 7 0.936 0055.9 6 56.300 000 9 0.027 015 S 0.321 006 7 3.113 002 10 0.009 015 9 0.117 006 S 0.939 .002 5 4.149 008 10 0.042 006 9 0.345 003 6 0.919 012 11 0.015 006 10 0.133 003