math171 lab3 2-14-08

math171 lab3 2-14-08 - Lab 3 1 This picture is not...

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Unformatted text preview: Lab 3 1. This picture is not symmetrical. It is favored toward the higher end of the scale, toward 9 and 10. 2. 3. a. As the value of n increases, the histograms take on a more pronounced bell-shaped distribution. The center (or peak) of the bell shifts more toward the center of the graph, rather than staying at the higher end of the scale as it did for the n = 10 histogram. The data also spread out over a wider range of values. b. The theoretical mean value () of X is n p. The theoretical standard deviation of X is = [n * p * (1-p)] c. 1 = (10)(0.9) = 9 : consistent with the n = 10 histogram 2 = (20)(0.9) = 18 : consistent with n = 20 histogram 3 = (50)(0.9) = 45 : consistent with n = 50 histogram 4 = (100)(0.9) = 90 : consistent with n = 100 histogram 5 = (2000)(0.9) = 1800 : consistent with n = 2000 histogram 1 = [(10)(0.9)(0.1)] = 0.95 : consistent with histogram, most values are within 0.95 of the mean value of 9 2 = [(20)(0.9)(0.1)] = 1.3 : consistent with histogram, most values are within 1.3 of the mean value of 18 3 = [(50)(0.9)(0.1)] = 2.1 : consistent with histogram, most values are within 2.1 of the mean value of 45 4 = [(100)(0.9)(0.1)] = 3 : consistent with histogram, most values are within 3 of the mean value of 90 5 = [(2000)(0.9)(0.1)] = 13.4 : consistent with histogram, most values are within 13.4 of the mean value of 1800 ...
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This note was uploaded on 04/16/2008 for the course MATH 1710 taught by Professor Staff during the Spring '08 term at Cornell.

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