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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].

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].

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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 1A 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]. (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 familiar equation?
Transcribed Image Text:4. Let 1A be the indicator of event A. That is, the random variable 1A 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]. (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 familiar equation?
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