Question

Let $X$ be a sample (size n = 1) from the exponential distribution, which has the pdf $f(x;\lambda )=\lambda e^{-\lambda x}$ where $\lambda$ is an unknown parameter. Let's define a statistic as $T(X)=1_{x> 2}$ . Is $T(X)$ a sufficient statistic for $\lambda$?

Answer 1

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