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Answers for “在总试验次数约定下,负二项式分布的均值是多少?”

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Under the total-trials convention, the mean number of trials needed to achieve r successes is r/pr/p.

Conditions: Using the total-trials convention (counting all trials).; Success probability p>0p > 0.

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A binomial model fixes the number of trials and counts the number of successes. In contrast, a negative binomial model fixes the target number of successes and counts the number of trials needed to reach that target.

Conditions: Trials are independent.; Success probability is constant.