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Let X1, ..., Xn be independent and identically distributed exponential random variables with parameter B > 0 and Sn = X1 + . . .

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Let X1, ..., Xn be independent and identically distributed exponential random variables with parameter B > 0 and Sn = X1 + . . . + Xn. 1. Find the conditional density of X1|| Sn = s. 2. Find the conditional density of X1/ Sn|| Sn = s. 3. Find the distribution of the random variable X1/Sn

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