2. A recent study by the University of Pittsburg showed that the average number of airplanes...

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2. A recent study by the University of Pittsburg showed that the average number of airplanes flying over downtown Pittsburg is four per hour. Assume the passing of these airplanes is approximated by the Poisson distribution (a) Find the probability that no airplanes flew over Pittsburg between 8am and 9am on Sunday. (b) Find the probability that exactly three airplanes flew during that time. (c) Find the probability that exactly four airplanes flew during that time. (d) Find the probability that nine or more airplanes flew during that time

3,782 of 3,782 0 0 Left-tailed test Two-tailed test Confidence interval Right-tailed test Confidence Intervals, 90% 95% 98% Confidence Intervals, c 99% | 99.9% 0.10 0.05 0025 0.01 0.005 0.0005 .20 0.10 0.05 0.02 001 0.001 80% 9056| 95% | 98% 99% Level of Significance for One-Tailed Test, a 8% | 99.9% Level ofSignificance for One-Tailed Test, α g0.10 0.05 0.025 0.01 0.005 00005g. Level of Significance for Two-Tailed Test, a Level of Significance for Two-Tailed Test, a 0.20 0.10 0.05 0.02 0.0 0.001 13.078 6.314 12706 31.821 63.657 636.619 36 1.306 16882028 2434 2719 3.582 2 1886 2920 4.303 696 9.925 31599 37 1.305 1.687 2026 24312715 3.574 3 1.638 2.353 3.182 4541 5812924 38 1304 6862024 2429 2712 3566 41.533 2.132 2776 3747 0 8610 39 1304 1.685 2.023 2426 2708 3.558 5 1.476 2.015 253.365 4.032 6869 4 1.303 684 2021 24232704 3551 6 1440 1.943 2447 3.143 3.707 5959 41 1.303 1.683 2020 2421 2.701 3.544 1.415 1895 2365 2.998 3.499 5.408 42 1.302 1682 201824182.698 3.538 8 | 1.397 | 1.860 | 2.306 丨 2.896 丨 3.355 | 5041 43 | 1.302 | 1.681 | 2.017 | 2.416 | 2695 | 3532 9 1.383 1.833 2.262 2.821 3.250 4.781 44 1301 1.680 2.0152.4142692 3.526 10 | 1.372 | 1.812 | 2.228 | 2764 | 3169 | 4587 45 | 1.301 | 1.679 | 2.014 | 2.412 | 2.690 | 3.520 11 | 1.363 | 1.796 | 2.201 | 2.718 | 3.106 | 4.437 46 | 1.300 | 1.679 | 2.013 | 2.410 | 2.687 | 3.515 12 1.356 1.782 2.179 2681 3.055 4318 471.300 1678 2012 2408 26853.510 13 1.350 1.7712.160 2.650 3.012 4221 48 1.299 1.677 2.0112.4072.6823.505 14 1.345 76 2145 2.624 2977 4.140 49 1.299 1.677 2.010 2.405 2.680 3.500 5 1.3411753 2.131 2.602 2.947 4.073 50 1.299 1676 2.009 2.403 2.678 3.496 6 1337 1746 2.120 2.583 2921 4015 51 .2981.675 2008 2.402 2676 3.492 17 1.333 .7402.110 2567 2.898 3.965 52 1.2981.675 2007 2.400 2674 3.488 18 1.330 1.734 2.101 2.552 2.878 3.922 531298 1.674 2.006 2.399 2.672 3.484 19 1.328 1.729 2.093 2539 2.861 3883 541.297 1.674 2.005 2.397 2670 3.480 20 1.325 125 086 2528 2845 380 55 1.297 1.673 2004 2.3962668 3476 21 1.323 1721 20 2518 2831 381956 1.297 1673 2003 2.392.667 3.473

42 1.3021682 2.018 2.418 2698 3.538 4.781 44 1301 1680 2.015 2.414 2692 3.526 3.106 4437 46 3001.679 2013 2.410 2687 3515 1.415 1.895 1.397 1860 2.306 2.896 3.355 5041 43 1.02 1.681 2.017 2416 2.695 3532 9 1.383 1.833 2.262 2.821 3.250 10 | 1.372 | 1.812 | 2.228 | 2764 | 3169 | 4587 45 | 1301 | 1.679 | 2014 | 2412 11 1.363 1796 2201 2718 2.001 | 3055 | 4318 47 | 1.300 | 1.678 | 2.012 | 2.408 | 2685 | 3.510 48 1.299 1.677 2011 .407 2682 3.505 13 1.350 1.771 2.160 2650 3012 4221 14 1345176 5 1.341.753 2.131 2.602 2947 4.073 215 2624 2977 4.140 49 1.299 1.677 2.010 24052680 3.500 091,676 2.009 032678 3496 16 1.337 1746 2.120 17 1.333 1.740 2.110 2567 2.898 3965 52 1.298 18 1.330 34 2.101 2.552 2878 19 1.328 1.729 2.093 2539 2861 20 1.325 1.725 2.086 2.528 2.583 2.921 4015 511.298 1.675 2.008 2402 26763.492 1.675 2007 2.400 2674 3488 3922 53 1.298 1674 2.006 2.399 2.672 3.484 4 1.297 1674 2.005 2.397 2.670 3.480 2.845 3850 551297 1.673 2.004 2.396 2668 3.476 21 1.323 1721 2080 2518 2831 22 1.321 17172.074 2.508 2.819 23 1.3191714 2.069 2.500 807 3768 58 296 1.672 24 1.318 25 1.316 1.708 2.060 2.485 2.787 3725 6 3819 56 1.297 1.673 2.003 2.395 2.667 3473 3.792 57 .297 1.672 2002 2.394 2.6653,470 2.002 2392 2663 3.466 2.064 2492 2.797 3745 59 1.296 1.671 2001 2.391 1.296 671 2.000 2.390 2.660 3.460 1296 1670 2000238 2.659 3.457 295 1670 1999 23882657 3.454 26 1.315 .706 2.056 2479 2.779 3.707 6 27 1.314 1703 2.052 2473 2.771 3.690 6 28 1.313 1.701 2.048 2.467 2.763 3674 29 1.311 1699 2045 2.462 2.756 30 1.310697 2042 2457 2.7503646 65 1.295 63 1295 1.669 1.998 2387 2656 3452 1.669 1.997 2385 26543.447 3.659 64 1.295 1669 1.998 2386 2.655 3.449 31 1.309 1696 2040 2.453 2.744 3.633 66 1.295 32 1.309 1694 2.037 2449 2.738 3.622 1.294 33 1.308 1692 2035 2445 2.733 34 1.307 691 2.032 2.441 2.728 3.601 69 1.294 35 1.306 1.690 2.030 2.4382 8 1.997 23842.652 3.444 67 | 1.294 1.68 | 1.996 | 2383 | 2.651 | 3.442 68 1.294 1668 1.995 2382 26503.439 1667 1.995 2.3822649 3.437 2.724 3.591 70 1.294 1.667 1.994 2381 2648 3.435 continued-top right (continued)

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