Let $X_{1}, X_{2}$ and $X_{3}$ be independent random variables with uniform distribution over $[0, \theta]$. Consider the following statements.
- $E\left[\max \left\{X_{1}, X_{2}, X_{3}\right\}\right]=\frac{3}{4} \theta$.
- $E\left[\max \left\{X_{1}, X_{2}\right\}\right]-E\left[\max \left\{X_{2}, X_{3}\right\}\right]=0$.
- $E\left[X_{1}\right]=\theta / 2$
- $E\left[\max \left\{X_{1}, X_{2}\right\}\right]=\frac{2}{3} \theta$
Which of the above statements is/are $\text{TRUE}?$
- Only $\text{(i)}$
- Only $\text{(ii)}$
- Only $\text{(iii)}$
- Only $\text{(iv)}$
- All of $\text{(i) – (iv)}$