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amplification factor Analysis of Variance approach approximation assume balls basic probability bility binomial calculate cent central limit theorem chapter on Mathematical characteristic function chi-square chi-squared distribution coin confidence limits consider critical region cumulative distribution function curve defined degrees of freedom determine the probability diameter effect engineering equal estimate example expect false alarm fx(x given in Equation gives HH HH HH infinite number infinity integral interval mathematical probability method noise normally distributed null hypothesis number of cycles permutations plot population mean population variance Pr(x proba probability density function probability function probability of obtaining problem ptre random variable ratio Rayleigh Distribution reason reject the hypothesis sample statistic sample value shown in Figure situation SS'S standard deviation Substituting Theorem total number transistors type I error voltage weld