Homework Help is Here – Start Your Trial Now!
Math
Statistics
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) Create a two-way table to organize the responses to the survey. Determine the totals of the rows and columns. (b) 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.  (c) What is the probability that a randomly selected reader is female and prefers Twitter? (d) Of the respondents who prefer Twitter, what is the probability that the respondent is female? (e) Suppose a female reader is selected at random, what it the probability that she prefers Twitter?  (f) Are the events being female and preferring Twitter independent? (g) Are the events being female and preferring Twitter mutually exclusive?

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) Create a two-way table to organize the responses to the survey. Determine the totals of the rows and columns. (b) 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.  (c) What is the probability that a randomly selected reader is female and prefers Twitter? (d) Of the respondents who prefer Twitter, what is the probability that the respondent is female? (e) Suppose a female reader is selected at random, what it the probability that she prefers Twitter?  (f) Are the events being female and preferring Twitter independent? (g) Are the events being female and preferring Twitter mutually exclusive?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
See similar textbooks
icon
Related questions
Question
  1. 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) Create a two-way table to organize the responses to the survey. Determine the totals of the rows and columns.
  • (b) 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. 
  • (c) What is the probability that a randomly selected reader is female and prefers Twitter?
  • (d) Of the respondents who prefer Twitter, what is the probability that the respondent is female?
  • (e) Suppose a female reader is selected at random, what it the probability that she prefers Twitter? 
  • (f) Are the events being female and preferring Twitter independent?
  • (g) Are the events being female and preferring Twitter mutually exclusive?

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS