求助（英文题目）

letter4me1981

Let U be a uniform (0 1) random variable. Suppose that n trials are to be performed and that conditional on U=u these trials will be independent with a common success probability u. Compute the mean and variance of the number of successes that occur in these trials.

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急盼能给指导

jimin

understand ,but i do not know how to explain.

I just know that is probability problem

会战

“设v是一个服从均匀分布（0，1）的随机变量.假设试验进行了n次,并且在给定v=u的条件下，各次试验是相互独立，且具有相同的（成功）概率u,计算（实验中）成功次数的均值和方差。”

希望对你有帮助！

这个翻译可以参看“n重Bernouli试验”的条件说明，这在一般的概率书上都有！

letter4me1981

Thank you!

I have known how to solve it.