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<br />o <br />tn. <br />Ci:J <br />o <br /> <br /> 4 <br />Pr [S = 43, R = 111.9] = .116 <br />Pr [S = 62, R = 111.9] = .188 <br />Pr [S = 50, R = 151] = .058 <br />Pr [S = 107, R = 151] = ,029 <br /> <br />As before, the sum of the probabilities is one and all S outcomes are <br /> <br />estimated as the sample means of their respective groups. The E[S] = 44. <br /> <br />The independent W distribution is as follows: <br /> Pr [W= 20,2] = .086 <br /> Pr [W = 22.6] = .160 <br /> Pr [W = 26,5] = .696 <br /> Pr [W = 38.0] = .058 <br /> <br />Again the sum of the outcome probabilities is one and the outcomes <br /> <br />reflect the means of their intervals, The E [W] = 26. The extremes of <br /> <br />the distribution are purposely included with low probability in order not <br />to average this extreme value infonnation away, while the large number of <br />mid-values are purposely grouped into one interval for added simplification. <br />The USBR shows the long tem average annual inflows of the White River <br />in Colorado to be 567,000 acre-feet. The seasonal monthly means times the <br /> <br />number of months per season is . <br /> <br />3(93) + 3(44) + 6(26) = 567 <br /> <br />preserving the long tem mean in this method. <br /> <br />REGULATION CRITERIA - WHITE RIVER EXAMPLE <br /> <br />Regulation of a stream tends to equalize monthly outflows from a <br />reservoir by storing excess high inflows and releasing them later to ; <br />augment lower inflows, Larger reservoirs can tend to equalize year to <br />