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. A study by WPU showed that 50% of students attending an open house for the first time will return for future open houses. Suppose six students are selected at random, what is the probability that: (a) Exactly two students will return? (b) All six students will return? (c) At least five students will return? (d) At least one student wi return? (e) How many students would be expected to return for future open houses?

3,782 of 3,782 1 a 0 0 Left-tailed test Two-tailed test Confidence interval Right-tailed test Confidence Intervals, 90% 95% 98% Level of Significance for One-Tailed Test, a Level ofSignificance for Two-Tailed Test, α | 90%| 95% | 98% 99% 99.9% 80% 99% | 99.9% 8% Level of Significance for One-Tailed Test,ca (degrees l 0.10一0.05 0.025-0.01 1 0.005 : 0.005 (degrees. 010 a051 0.025 -an Level of Significance for Two-Tailed Test, a 0.20 0.10 0.05 0.02 0.0 0.001 .20 0.10 0.05 0.02 001 0.001 1 | 3.078 | 6.314 | 12.706 | 31.821 | 63.657 | 636.619 36 | 1.306 | 1.688 | 2.028 | 2.434 | 2.719 | 3582 2 1.886 2920 4.303 6.965 9925 31599 37 305 1687 2026 2431 2.715 3.574 316382.353 3.182 4541 5.841 12.924 38 1.304 1.686 2.024 2.429 2.7123.566 5 1476 2015 571 3365 6.869 40 103 1.684 20212423 2704 3,551 6 1440 1.943 2447 3.143 3.707 5959 41 1.303 1.683 2020 2421 2.701 3.544 7 | 1.415 | 1.895 | 2.365 丨 2998 | 3499 | 5408 42 | 1.302 | 1.682 | 2.013 | 2.418 | 2698 | 3.538 8 1.397 1.860 2.306 2.896 3.355 50443 1302 1.6812017 2416 2.695 3.532 9 1.3831833 2.262 2.821 3.250 4.781 44 1.301 1.680 2.0152.414 2692 3.526 10 | 1.372 | 1.812 | 2228 | 2764 | 3169 | 4587 45 | 1.301 | 1.679 | 2.014 | 2.412 | 2.690 | 3.520 11 1.363 1.796 220 2718 3.106 4.437 41.300 1.679 2013 2410 2.687 3.515 12 1.356 1.782 2.179 2681 3.055 4.318 47 1.300 1.6782.012 2.408 2685 3.510 13 | 1.350 | 1.771 | 2160 | 2.650 丨 3.012 | 4221 48 | 1299 | 1.677 | 2011 | 2.407 | 2682 | 3505 14 1.345 .76 2.145 2.624 2977 4.140 49 1.299 1.6772010 2.405 2680 3.500 5 1.3411753 2.131 2.602 2.947 4.073 50 1.299 1676 2.009 2.403 2.6783.496 6 1.337 1746 2.120 2.583 2921 4015 51 .2981.675 2008 2.402 2676 3.492 17 1.333 1.740 2.110 2.567 2898 3.965 52 1.298 1.675 2007 2.400 2674 3.488 18 1.330 1.734 2.101 2.552 2.8783.922 53 1.298 1.674 2006 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 38055 1.297 1673 2004 2.3962668 3476 21 1.323 1721 20 2.518 2831 381956 1.297 1673 2003 2.392.667 3.473

42 1.3021682 2018 2.418 2698 3.538 43 1.302 1.681 2.0172416 2695 3.532 44 1.301 1680 2015 2.414 2.692 3.526 71.415 1.895 8 1.397 1860 2.306 2.896 3.355 5.041 9 1.383 1.833 2262 2.821 3.250 4.781 10 | 1.372 | 1.812 | 2228 | 2764 | 3169 | 4587 45 | 1.301 | 1679 | 2014 | 2412 11 1.363796 2.201 2718 2 1.356 1.782 2179 2681 3055 4.318 47 1.300 1.678 3 1.350 1.771 2 14 1.345 1761 15 1.311.753 2131 2602 2947 4.073 3.106 4437 46 3001.679 2013 2.410 2687 3515 2.012 2.408 2685 3.510 160 2650 3.012 4221 48 1.299 1.677 2011 .407 2682 3.505 215 2624 2977 4.140 49 1.299 1.677 2.010 2.4052680 3.500 0 .99 1676 2.009 2.403 2678 3,496 6 1.337 1.746 2.120 17 1.333 1.740 2.110 2.567 2.898 3.965 52 1.298 18 1.330 1.734 2.10 2.552 2.878 19 1.328 1.729 2.093 2539 2861 20 1.325 1.725 2.086 2.528 2845 2.583 2.921 4.015 511.298 1.675 2.008 2.402 2676 3.492 1.675 2007 2.400 2674 3488 3922 53 1.298 1.674 2006 2.399 2.672 3.484 4 1.297 1674 2.005 2.397 2.670 3.480 3.850 55 1.297 1.673 2004 2.396 26683.476 21 1.323 1.721 2080 2.518 2.831 22 1.321 17172.074 2.508 2.819 23 1.319714 2.069 2500 2807 3768 58 296 1.672 24 1.318 2.064 2.492 2.797 3745 59 1.296 1.671 2001 2.391 25 1.316 1708 2060 2485 2787 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 58 1.296 16722.002 2.392 2.663 2.662 3.725 60 1.296 1.671 2.000 2.390 2.660 3.460 26 1.315 1.706 2.056 2.479 2.779 3.707 27 1.3141703 2052 2473 2.77 28 1.313 .701 2.048 2.467 2.763 3674 6 1.295 1.669 29 1.311 1699 2045 2462 2.756 30 1.310697 2042 2457 2.7503 61 1296 1.6702.000 2.389 2659 3.457 3690 62 1295 1.670 1.999 23882657 3.454 1.998 2.3872656 3.452 3.659 64 1.295 1669 1.998 2386 2.655 3.449 3646 65 12951.669 1.997 2.385 2.654 3.447 31 1.309 1696 2040 2.453 2.744 3.633 66 1.295 32 1.3091694 2.037 2.449 2.738 3.622 67 1.294 33 1.308 1.692 2.035 2445 2.733 34 1.307 6 2032 2441 2.728 3.601 69 1.294 35 1.306 1.690 2.030 2.438 2.724 8 1.997 2384 2.652 3.444 1.668 1.996 2.383 2.6513.442 68 1.294 1668 1.995 2382 26503.439 1667 1.995 2.3822649 3.437 3.591 70 1.294 1.667 1.994 2381 2648 3.435 (continued)

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