Question: If I is an indicator random variable for the event A, that is, if then E[I] = 1P(A) + 0P(Ac ) = P(A) Hence, the

If I is an indicator random variable for the event A, that is, if

1 = 1 if A occurs 0 if A does not occur

then E[I] = 1P(A) + 0P(Ac ) = P(A)
Hence, the expectation of the indicator random variable for the event A is just the probability that A occurs.

1 = 1 if A occurs 0 if A does not occur

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