In a survey of readers of a US Weekly magazine a question was asked, “Which do you prefer: Facebook or Twitter?” There were 362 responses from females and 216 responses from males. 281 females and 98 males stated they prefer Facebook.Use proper notation to state the probabilities.(a) Define events F: the survey response was from a female and T: the survey response was from a person who preferred Twitter. Create a Venn Diagram to organize the responses to the survey. (b) What is the probability that a randomly selected reader is female and prefers Twitter?(c) Of the respondents who prefer Twitter, what is the probability that the respondent is female?(d) Suppose a female reader is selected at random, what it the probability that she prefers Twitter? (e) Are the events being female and preferring Twitter independent?(f) Are the events being female and preferring Twitter mutually exclusive?

Given Information: 362 responses are from females 216 responses are from males. 281 females and 98…

Answered: In a survey of readers of a US Weekly…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 27E: Another friend asks you to explain how to tell whether two events are dependent or independent. How...

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In a survey of readers of a US Weekly magazine a question was asked, “Which do you prefer: Facebook or Twitter?” There were 362 responses from females and 216 responses from males. 281 females and 98 males stated they prefer Facebook.

Use proper notation to state the probabilities.

(a) Define events F: the survey response was from a female and T: the survey response was from a person who preferred Twitter. Create a Venn Diagram to organize the responses to the survey.
(b) What is the probability that a randomly selected reader is female and prefers Twitter?
(c) Of the respondents who prefer Twitter, what is the probability that the respondent is female?
(d) Suppose a female reader is selected at random, what it the probability that she prefers Twitter?
(e) Are the events being female and preferring Twitter independent?
(f) Are the events being female and preferring Twitter mutually exclusive?

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