4. Let 1A be the indicator of event A. That is, the random variable 1A takes thevalue 1 if A occurs and is 0 if AC occurs.(a) What is the support of 1A?(b) What is the p.m.f. of 1A?(c) Compute E[1A].(d) What should the subscript of the indicator r.v. on the r.h.s. of the fol-lowing equation be so that equality holds?1A +1B-1AB = 1?.You may assume that A and B are events.(e) Take the expected value of each side, and you end up with what familiarequation?

Given : IA =indicater of event A TTakes value 1 if A occur Takes value 0 if A doesn't occur Note…

Answered: 4. Let 1A be the indicator of event A.…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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4. Let 1A be the indicator of event A. That is, the random variable 14 takes the value 1 if A occurs and is 0 if AC occurs. (a) What is the support of 1A? (b) What is the p.m.f. of 1A? (c) Compute E[1A].