Queuing Example 2 - S Observation Mean Bins 2 1 0.1413 0.30...

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Unformatted text preview: S Observation Mean Bins 2 1 0.1413 0.30 2.077 2 2 0.9964 11.26 4 3 0.0839 0.18 6 4 0.7116 2.49 8 5 0.1685 0.37 10 6 0.8653 4.01 12 7 0.3787 0.95 14 8 0.5922 1.79 16 9 0.3314 0.81 10 0.2489 0.57 Sum: 11 0.1110 0.24 12 0.4457 1.18 13 0.4268 1.11 14 0.1876 0.42 15 0.5760 1.72 16 0.1155 0.25 17 0.4126 1.06 18 0.9146 4.92 19 0.2779 0.65 20 0.5926 1.80 21 0.9593 6.40 22 0.9533 6.13 23 0.5370 1.54 24 0.2622 0.61 25 0.8045 3.26 26 0.8402 3.67 27 0.1444 0.31 28 0.2008 0.45 Uniform Random Values of y Observation of X ) 1 ln( y a x- - = 2 0.1 0.2 0.3 0.4 p.d.f. EXPONENTIAL RANDOM SAMPLES Excel simulates 500 random observations of an exponential random variable, X , with parameter = 2. Note that E ( X ) = 2. The sample mean is displayed in Cell H12 and the sample is used to plot an approximation for the p.d.f ., f X , of X . The actual values of f X are plotted at the bin midpoints. Each recalculation of the worksheet selects a new set of random observations. Ma T Th 29 0.3897 0.99 30 0.8993 4.59 31 0.7677 2.92 32 0.8098 3.32 33 0.1748 0.38 34 0.6876 2.33 35 0.1336 0.29 36 0.0524 0.11 37 0.7182 2.53 38 0.2451 0.56 39 0.2696 0.63 40 0.5358 1.53 41 0.6277 1.98 42 0.7334 2.64 43 0.8222 3.45 44 0.7130 2.50 45 0.2240 0.51 46 0.4972 1.38 47 0.8087 3.31 48 0.1855 0.41 49 0.7141 2.50 50 0.0866 0.18 51 0.7781 3.01 52 0.6734 2.24 53 0.0398 0.08 54 0.3151 0.76 55 0.9356 5.49 56 0.8443 3.72 57 0.1554 0.34 58 0.0800 0.17 59 0.0452 0.09 60 0.5450 1.57 61 0.9793 7.76 62 0.8128 3.35 63 0.3548 0.88 64 0.1542 0.33 65 0.5005 1.39 66 0.4884 1.34 67 0.2065 0.46 68 0.2187 0.49 69 0.7335 2.64 70 0.4761 1.29 71 0.7544 2.81 72 0.3612 0.90 73 0.2095 0.47 74 0.5766 1.72 75 0.0742 0.15 76 0.4335 1.14 77 0.0738 0.15 78 0.8829 4.29 79 0.6190 1.93 80 0.7880 3.10 81 0.9694 6.98 82 0.3971 1.01 83 0.4614 1.24 84 0.0093 0.02 85 0.7123 2.49 86 0.3970 1.01 87 0.8536 3.84 88 0.8676 4.04 89 0.4770 1.30 90 0.8988 4.58 91 0.4126 1.06 92 0.4563 1.22 93 0.7116 2.49 94 0.7674 2.92 95 0.6105 1.89 96 0.2121 0.48 97 0.2558 0.59 98 0.8170 3.40 99 0.4308 1.13 100 0.9893 9.07 101 0.2931 0.69 102 0.1852 0.41 103 0.3504 0.86 104 0.50260....
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Queuing Example 2 - S Observation Mean Bins 2 1 0.1413 0.30...

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