Welcome to Bytelearn!

Let’s check out your problem:

Question $11$$\newline$The random variable $X$ has a probability density function:$\newline$$$f(x)=\left\{\begin{array}{c} (1-\beta)+2 \beta x \text { for } 0<x<1 ; \text { and }-1<\beta<1 . \\ 0 \text { otherwise. } \end{array}\right.$$$\newline$There are $n$ observations $x_{i}, i=1,2, \ldots$, drawn independently from this distribution.$\newline$Which one of the following statements is incorrect?$\newline$The expected value of $x$ is