Expected Values

An expected value is the estimated outcome of an event. The math notation is E[A].

Contents

Evaluation

For a discrete distribution, the expected value is generally Σ x P(x).

For a continuous distribution, the expected value is generally ∫ x P(x) dx.

For a Bernoulli-distributed variable (taking value 1 with probability p and value 0 with probability 1-p), the expected value is p.

E[X] = Σ x P(x)

E[X] = (0) P(0) + (1) P(1)

E[X] = P(1)

E[X] = p