Answered: Below are the results of a survey of…

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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Below are the results of a survey of 1,364 individuals who were asked if they use social media and other websites to voice their opinions about television programs.

	Uses Social Media and Other Websites to Voice Opinions About Television Programs	Doesn't Use Social Media and Other Websites to Voice Opinions About Television Programs
Female	397	293
Male	321	353

(a)

What is the probability a respondent is female? (Round your answer to four decimal places.)

(b)

What is the conditional probability a respondent is female given the respondent uses social media and other websites to voice opinions about television programs? (Round your answer to four decimal places.)

(c)

Let F denote the event that the respondent is female and A denote the event that the respondent uses social media and other websites to voice opinions about television programs. Are events A and F independent? Why or why not?

Yes, P(F) < P(F | A)Yes, P(A) = P(F | F) No, P(F) ≠ P(F | A)No, P(F) ≤ P(A | F)

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