Exercise 5: (6 points) Let X1, ..., Xn be independent and identically distributed exponential random variables with parameter S > 0 and Sn = X1
Exercise 5: (6 points) Let X1, ..., Xn be independent and identically distributed exponential random variables with parameter S > 0 and Sn = X1 + . . . + Xn. 1. Find the conditional density of Xill Sn = s. 2. Find the conditional density of X1/Snl| Sn = s. 3. Find the distribution of the random variable X1/Sn
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