Question: If X is a random variable following an exponential distribution with its probability x distribution f(X) = l 8? i8 6.1 Now, we would like

If X is a random variable following an exponential distribution with

If X is a random variable following an exponential distribution with its probability x distribution f(X) = l 8? i8 6.1 Now, we would like to draw a sample of X in order to perform statistical inference. Please give the probability distribution of a random sample with sample size of n that consists of X1, X2, ..., Xn as its observations. [10%] 6.2 Please give an approximate distribution of the sample mean I? = (X1 + X2 +...+Xn) when sample size n is 100 with detailed explanation of any theory you apply. [10%]

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