Explanation Given info: A survey is conducted among 530 adult American, 125 of them belongs to the age group 35-44, 338 of them use social media, and 89 of them belongs to the age group 35-44 and use social media. Calculation: 35-44 years old: The probability of the event can be obtained as shown below: P ( E ) = Number of ways E occur Number of possible outcomes Here, Event E denotes “selected adult belongs to the age group 35-44”. Substitute 338 for “Number of ways E occur” and 530 for “Number of possible outcomes” as follows: Required probability is as follows: P ( E ) = 338 530 = 0.638 Thus, P ( Use social media ) = 0.638 _ . Use social media given that 35-44 years old: The conditional probability of E given F is as follows: P ( E | F ) = N ( E and F ) N ( F ) Event E denotes “Use social media”, the event F denote “35-44 years old” and E and F denote “belongs to 35-44 and use social media”

5th Edition

ISBN: 9781034509998

Author: Sullivan

Publisher: PEARSON

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Chapter 5.4, Problem 42AYU

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To find: The probability P(Use Social media ) and P(Use Social media | 35-44 years) .

To check: Whether the events “Use social media” and “35-44 years old” are independent or not.

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Chapter 5.4, Problem 41AYU

Chapter 5.5, Problem 1AYU

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The probability P ( Use Social media ) and P ( Use Social media | 35-44 years ) . To check: Whether the events “Use social media” and “35-44 years old” are independent or not.

Solution Summary: The author explains that the events "Use social media" and "35-44 years old" are not independent.

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To find: The probability P(Use Social media ) and P(Use Social media | 35-44 years) .

To check: Whether the events “Use social media” and “35-44 years old” are independent or not.

Want to see the full answer?

Chapter 5 Solutions

The probability P ( Use Social media ) and P ( Use Social media | 35-44 years ) . To check: Whether the events “Use social media” and “35-44 years old” are independent or not.

Solution Summary: The author explains that the events "Use social media" and "35-44 years old" are not independent.

Concept explainers

Videos

To find: The probability P(Use Social media ) and P(Use Social media | 35-44 years) . To check: Whether the events “Use social media” and “35-44 years old” are independent or not.

Want to see the full answer?

Chapter 5 Solutions

To find: The probability P(Use Social media ) and P(Use Social media | 35-44 years) .

To check: Whether the events “Use social media” and “35-44 years old” are independent or not.