Using variable transformation,differential median theorem and property of probability, the probability integral formula of density function of random variable X for obeying standard normal distribution are proved by some methods.
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夏莉.概率积分integral from n=(-∞) to ( ∞)(1/(2π)~(1/2)·e~(x~2/2))dx=1的多种证明[J].重庆工商大学学报(自然科学版),2001,(4): XIA Li.[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2001,(4):