Let $X_1, X_2, … , X_n$ be i.i.d. random variables having pdf $f(x) = (1/θ) e^{-x/θ},; 0 0$ The cdf of the largest order statistic $X_{(n)} = max(X_1, X_2, … , X_n)$ is:

$F_n(x)=\frac{n}{\theta}(1-e^{-x/\theta})^{n-1}e^{-x/\theta}$

Let X_1, X_2, … , X_n be i.i.d. random variables having pdf f(x) = (1/θ) e^-...

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Question Id : 16810 | Context : AMU MCA 2025

Let $X_1, X_2, … , X_n$ be i.i.d. random variables having pdf $f(x) = (1/θ) e^{-x/θ},; 0 < x < ∞,; θ > 0$ The cdf of the largest order statistic $X_{(n)} = max(X_1, X_2, … , X_n)$ is:

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