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UNCERTAINTIES AND FREQUENCY DISTRIBUTIONS
THE GAUSSIAN DISTRIBUTION
THEOREMS OF BERNOULLI AND STIRLING AND
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a(xd approximation assumed b(zt Bernoulli's Theorem calculated calibration confidence interval confidence probability consider constant corresponding curve degrees of freedom density function derived distribution of equal equal standard deviation equation estimated standard deviation estimated uncertainties exceeded expression F distribution finite number fraction of correct Gaussian distribution gives values inch integral Known parameters large number limit point maximum value mean line mean value measured normal distribution Note number of degrees number of observations number of readings obtained paras probability distribution probability of occurrence rectangles rejected required probability root mean square semi-range set of observations side Similarly single reading sizing machine square standard error sub-class substituting three rectangular distributions tolerance coefficient tolerance interval tolerance limits tolerance probability tolerance range total uncertainty uncertainty lying valid for x4 variable weighted mean whilst workpiece zero