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Normal distribution The normal distribution is the most widely known and used of all distributions Because the normal distribution approximates many natural phenomena so well, it.

Pngxg zui. (a) Since √ n(X n/n−p) →d N0,p(1−p), the variance of the limiting distribution depends only on p Use the fact that X n/n →P p to ﬁnd a consistent estimator of the variance and use it to derive a 95% conﬁdence interval for p (b) Use the result of problem 53(b) to derive a.

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