Variance of an indicator

An event occurs with probability p=0.5p = 0.5. What is the variance of its indicator (1 if it occurs, else 0)?

Show hints (2)+
  1. For a 0/1 variable, E[X^2] = E[X] = p.
  2. Var = p(1-p).

Answer

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0.25

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Asked at: Optiver, IMC

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