Let X1,X2,…,Xn (nge 2) be a random sample from a distribution with probability density function f(x;theta)=begincases1/2theta,&-thetale xletheta0,&xthetaendcases, where thetain(0,infty) is unknown. If R=minX1,X2,…,Xn and S=maxX1,X2,…,Xn, then which of the following statements is/are TRUE?

Q38Section B (Section B)38 of 60

Statistics for a symmetric uniform

Let $X_{1},X_{2},…,X_{n}$ $(n\ge 2)$ be a random sample from a distribution with probability density function $f(x;\theta)=\begin{cases}\dfrac{1}{2\theta},&-\theta\le x\le\theta\\0,&|x|>\theta\end{cases},$ where $\theta\in(0,\infty)$ is unknown. If $R=\min\{X_{1},X_{2},…,X_{n}\}$ and $S=\max\{X_{1},X_{2},…,X_{n}\}$ , 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.

Keyboard: A–D answer · S solution · ←/→ previous/next