Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. probability mass function), $P(x)$, of a variable $x?$
- mean $=$ median $\neq$ mode
- mean $=$ median $=\operatorname{mode}$
- $\operatorname{mean} \neq \operatorname{median}=\operatorname{mode}$
- mean $\neq$ mode $=$ median