Skip to content

Limit Theorems and Markov Chains practice

practice · no clock1 / 3
Q1Part B+3 / −0.75

Let X1,X2,…X_{1}, X_{2}, \dots be i.i.d. with CDF F(x) = 0 for x < 5 and 1 − e5−xe^{5-x} for x ≥ 5. Define Yn=min⁡Y_{n} = \min{X1,…,XnX_{1}, \dots, X_{n}} and Zn=n(Yn−5)Z_{n} = \sqrt{n} (Y_{n} - 5), and let Z be standard normal. Which one of the following statements is true?

Nothing here is recorded — this is practice, not a timed sitting, so it doesn't feed your weak-trap profile or revision queue.