Question
Reflexive and transitive but not symmetric.
| It is clear that $\text{x}\geq\text{x}$ | $\therefore$ | R is reflexive. |
| And $\text{x}\geq\text{y}$ does not imply $\text{y}\geq\text{x}$ | $\therefore$ | R is not symmetric. |
| But $\text{x}\geq\text{y},\text{y}\geq\text{z}\Rightarrow\text{x}\geq\text{z}$ | $\therefore$ | R is transitive. |
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| $\text{X}=\text{x}_\text{i}:$ | $1$ | $2$ | $3$ |
| $\text{P}(\text{X}=\text{x}_\text{i}):$ | $\frac{1}{4}$ | $\frac{1}{8}$ | $\frac{5}{8}$ |
| (i) | (ii) | (iii) | |
| X | 400 | 300 | 100 |
| Y | 300 | 250 | 75 |
| Z | 500 | 400 | 150 |