Develop the joint probability table for these data and use it to answer the following questions. Yes No Totals Women Men Totals (b) What are the marginal probabilities? P(18- to 34-year-old woman) = P(18- to 34-year-old man) = P(responded yes) =
Develop the joint probability table for these data and use it to answer the following questions. Yes No Totals Women Men Totals (b) What are the marginal probabilities? P(18- to 34-year-old woman) = P(18- to 34-year-old man) = P(responded yes) =
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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Question
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 | 107 | 144 | 251 |
| Totals | 201 | 299 | 500 |
(a)
Develop the joint probability table for these data and use it to answer the following questions.
| Yes | No | Totals | |
|---|---|---|---|
| Women | |||
| Men | |||
| Totals |
(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)
=(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?
(f)
If, in this country, 50.4% of 18- to 34-year-olds are male, do you consider this a good representative sample? Why?
Since
P(18- to 34-year-old man) =
in this sample, this like a good representative sample based on gender. Expert Solution
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