Let X1,X2,…,Xn (nge 2) be independent and identically distributed random variables with probability density function f(x)=begincases1/x^2,&xge 10,&otherwise.endcases Then, which of the following random variables has/have finite expectation?

Q36Section B (Section B)36 of 60

Finite moments under a Pareto tail

Let $X_{1},X_{2},…,X_{n}$ $(n\ge 2)$ be independent and identically distributed random variables with probability density function $f(x)=\begin{cases}\dfrac{1}{x^{2}},&x\ge 1\\0,&\text{otherwise}.\end{cases}$ Then, which of the following random variables has/have finite expectation?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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