Consider the following hypothetical survey results of 18- to 34-year-olds in a certain country, in response to the question "Are you currently living with your family?" Yes No Totals Women 94 155 249 Men Men Totals Women (a) Develop the joint probability table for these data and use it to answer the following questions. 107 144 251 Totals 201 299 500 Yes (b) What are the marginal probabilities? P(18- to 34-year-old woman) = P(18 to 34-year-old man) = P(responded yes) = P(responded no) = No Totals (c) What is the probability of living with family given you are an 18- to 34-year-old woman in this country? (Round your answer to four decimal places.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Consider the following hypothetical survey results of 18- to 34-year-olds in a certain country, in response to the question "Are you currently living with your family?"
Women 94 155 249
Men
Men
Totals
Women
Yes No Totals
(a) Develop the joint probability table for these data and use it to answer the following questions.
Totals
107 144 251
201 299 500
Yes
(b) What are the marginal probabilities?
P(18- to 34-year-old woman) =
P(18- to 34-year-old man) =
P(responded yes) =
P(responded no) =
No
Totals
(c) What is the probability of living with family given you are an 18- to 34-year-old woman in this country? (Round your answer to four decimal places.)
(d) What is the probability of living with family given you are an 18- to 34-year-old man in this country? (Round your answer to four decimal places.)
(e) What is the probability of an 18- to 34-year-old in this country living with family?
Transcribed Image Text:Consider the following hypothetical survey results of 18- to 34-year-olds in a certain country, in response to the question "Are you currently living with your family?" Women 94 155 249 Men Men Totals Women Yes No Totals (a) Develop the joint probability table for these data and use it to answer the following questions. Totals 107 144 251 201 299 500 Yes (b) What are the marginal probabilities? P(18- to 34-year-old woman) = P(18- to 34-year-old man) = P(responded yes) = P(responded no) = No Totals (c) What is the probability of living with family given you are an 18- to 34-year-old woman in this country? (Round your answer to four decimal places.) (d) What is the probability of living with family given you are an 18- to 34-year-old man in this country? (Round your answer to four decimal places.) (e) What is the probability of an 18- to 34-year-old in this country living with family?
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