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Consider a population with the following properties. i. No one in the population is both old and skeptical. 45 ii. of the population is old. 82 iii. Of those who are old, å are smiling. iv. Of those who are not old, are smiling. v. H of the population is skeptical. vi. Of those who are skeptical, are smiling. vii. Of those who are not skeptical, are smiling. Use this information to explain why everyone in the population who is smiling must be either old or skeptical.

Consider a population with the following properties. i. No one in the population is both old and skeptical. 45 ii. of the population is old. 82 iii. Of those who are old, å are smiling. iv. Of those who are not old, are smiling. v. H of the population is skeptical. vi. Of those who are skeptical, are smiling. vii. Of those who are not skeptical, are smiling. Use this information to explain why everyone in the population who is smiling must be either old or skeptical.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Consider a population with the following properties. i. No one in the population is both old and skeptical. ii. 5 of the population is old. iii. Of those who are old, a are smiling. iv. Of those who are not old, are smiling. H of the population is skeptical. V. vi. Of those who are skeptical, are smiling. vii. Of those who are not skeptical, are smiling. Use this information to explain why everyone in the population who is smiling must be either old or skeptical. (Hint: use Bayes' rule to separately calculate the probabilities that someone is old or skeptical given that they are smiling.)
Transcribed Image Text:Consider a population with the following properties. i. No one in the population is both old and skeptical. ii. 5 of the population is old. iii. Of those who are old, a are smiling. iv. Of those who are not old, are smiling. H of the population is skeptical. V. vi. Of those who are skeptical, are smiling. vii. Of those who are not skeptical, are smiling. Use this information to explain why everyone in the population who is smiling must be either old or skeptical. (Hint: use Bayes' rule to separately calculate the probabilities that someone is old or skeptical given that they are smiling.)
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