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Homework Statement
Suppose X1...Xn are iid and have PDF [tex]f(x; \theta) = \frac{1}{\theta} e^{\frac{-x}{\theta}} \ \ \ 0<x<\infty[/tex]
Find the MLE of P(X<2).
Homework Equations
The Attempt at a Solution
I know the MLE of theta is [tex]\overline{X}[/tex]
so would [tex]P(X<2) = 1 - \frac{1}{\overline{X}} e^{\frac{-2}{\overline{X}}}[/tex]?
Thank you in advance.