Let .S; P / be a sample space and let A S be an event. Define a random variable IA whose
Chapter 34, Problem 34.16(choose chapter or problem)
Let .S; P / be a sample space and let A S be an event. Define a random variable IA whose value at s 2 S is IA.s/ D ( 1 if s 2 A, and 0 otherwise. The random variable IA is called an indicator random variable because its value indicates whether or not an event occurred. Prove: E.IA/ D P .A/.
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