Even though the voltage X may actually be bounded in the real situation, the p.d.f. (3.2.6) may provide a good approximation for the distribution of X over its full range of values. For example, Suppose that it is known that the maximum possible value of X is 1000. in which case Pr(X>1000)=0. When the p.d.f. (3.2.6) is used, it is found that Pr(x>1000)=0.001. If(3.2.6) adequately represents the variability of X over the interval (0,1000), then it may be more convenient to use the p.d.f. (3.2.6) than a p.d.f. that is similar to (3.2.6) for x≤1000, except for a new normalizing constant, and is 0 for x>1000. This can be especially true if we do not for sure that the maximum voltage is only 1000.
Even though the voltage X may actually be bounded in the real situation, the p.d.f. (3.2.6) may provide a good approximation for the distribution of X over its full range of values. For example, Suppose that it is known that the maximum possible value of X is 1000. in which case Pr(X>1000)=0. When the p.d.f. (3.2.6) is used, it is found that Pr(x>1000)=0.001. If(3.2.6) adequately represents the variability of X over the interval (0,1000), then it may be more convenient to use the p.d.f. (3.2.6) than a p.d.f. that is similar to (3.2.6) for x≤1000, except for a new normalizing constant, and is 0 for x>1000. This can be especially true if we do not for sure that the maximum voltage is only 1000.
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