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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 $x?$ 

  1. mean $=$ median $\neq$ mode
  2. mean $=$ median $=\operatorname{mode}$
  3. $\operatorname{mean} \neq \operatorname{median}=\operatorname{mode}$
  4. mean $\neq$ mode $=$ median
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