Let X₁,X₂,...,Xₙ be independent exponential random variables with parameter λ. We are interested in the distribution of the minimum of the Xi’s, that is, in the random variable X = min(X₁,X₂,...,Xₙ).
Find the cumulative distribution function of X.
Hint: ItiseasiertofindP{X>x}thantofindP{X≤x}.
