can we say E[x]>var[x] for a random variable distributed in [0,1]

timer Asked: Oct 21st, 2015

Question description

  1. Hi everybody,

    If a random variable X is distributed in [0,1], can we say E[x]>var[x]?

    If yes, can you please give me a reference which is stated that or can you please give me the proof?

    I would be really thankful if you can help 

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