Chapter 2 Section 1 Question 5

Question

Let A and B be events, and let $X=\textit{I}_A*\textit{I}_B$. Is X an indicator function? If yes, then of what event?

Answer

Author: Mohammad-Ali Bandzar| Date:Oct 14 2020

Yes, X is an indicator function as its only possible outcomes are 0,1. X will output 1 when both $\textit{I}_a$ and $\textit{I}_b$ are one. Therefore X is an indicator function of:$A\cap B$

Yes, X is an indicator function as its only possible outcomes are 0,1. X will output 1 when both $\textit{I}_a$ and $\textit{I}_b$ are one. Therefore X is an indicator function of:$A\cap B$