In this paper ,we drew in two variables a and b ,on the basis of q-shifted factorials and the Andrew-Askey inte-gral ,we introduce a new q-probability distribution .It generalizes Wang’ probability distribution .As applications ,it can sim-plify the structure of random variables sequence ,we structure one dimensional randam variable ,then give probabilistic deriva-tions of the q-binomial theorem and q-Guass summation formula .%引入两个参量 a和b ,在 q移位阶乘和Al/Salam/Carlitz积分的基础上,介绍了一种新的 q概率分布。这种 q概率分布推广了Wang提出的概率分布。在应用中,可以简化所构造的随机变量数列,通过构造一维随机变量数列,应用勒贝格控制收敛定理和Tannery定理,直接证明q二项式定理和q/Guass公式。
展开▼