Let X1,X2,…,Xn (nge 2) be a random sample from a distribution with probability density function f(x;theta)=begincasestheta x^theta-1,&0le xle 10,&otherwise,endcases where thetain(0,infty) is unknown. Then, which of the following statements is/are TRUE?

Q40Section B (Section B)40 of 60

CRLB for cube and reciprocal of theta

Let $X_{1},X_{2},…,X_{n}$ $(n\ge 2)$ be a random sample from a distribution with probability density function $f(x;\theta)=\begin{cases}\theta x^{\theta-1},&0\le x\le 1\\0,&\text{otherwise},\end{cases}$ where $\theta\in(0,\infty)$ is unknown. Then, which of the following statements is/are TRUE?

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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