ml-recall

#exponential-distribution

2 questions from Probability, Statistics & Estimation

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Question 1: Single choice

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You want samples from the exponential distribution $p(x; \lambda) = \lambda e^{-\lambda x}$ , $x \ge 0$ , using inverse transform sampling with $u \sim \mathcal{U}(0, 1)$ . Which transformation gives a correctly distributed sample?

$x = -\log(1 - u)/\lambda$ 1
$x = -\lambda \log(1 - u)$ 2
$x = 1 - e^{-\lambda u}$ 3
$x = \log(u)/\lambda$ 4

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