1. A publishing house has sent out a questionnaire of each of its 588 customers, asking about their interestin Science, Music, and History. Customers could check off anywhere between 1 and 3 subjects. Theresults are summarized in the Venn diagram below (for example, 36 people are interested in Scienceand Music, but not History):Science24483660240History96841MusicLet event A be interest in Science, let event B be interest in Music, and let event C be interest inHistory.a) What is the probability that a random customer is interested in History (note that these customersmay have other interests as well)?b) What is the probability that a random customer is interested in Music?c) What is the probability that a random customer is interested in both Music and History?d) If I choose a customer at random, and it turns out that they are interested in History, what is theprobability that they are also interested in Music?e) What is the probability that a customer is interested in Science or Music?

Answered: A publishing house has sent out a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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d) If I choose a customer at random, and it turns out that they are interested in History, what is the probability that they are also interested in Music?

e) What is the probability that a customer is interested in Science or Music?

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