Question: 3. Let X1, X2, ... be iid random variables with student distribution with 1 degree of freedom. Find the cdf Fyr of the limiting distribution

3. Let X1, X2, ... be iid random variables with student

3. Let X1, X2, ... be iid random variables with student distribution with 1 degree of freedom. Find the cdf Fyr of the limiting distribution of the random variable Mn = 7 max { X1, . . ., Xn} n Verify your answer using computer simulation. that is, compare a histogram/ecdf (empirical cdf) of a large number of simulated Mn (for large n) with the formula for the cdf/pdf of Mn

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