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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

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
Female 93 156 249
Male 109 142 251
Totals 202 298 500

(a)Develop the joint probability table for these data and use it to answer the following questions.

Yes No Totals
Female Probabilities should be between 0 and 1. Probabilities should be between 0 and 1. Probabilities should be between 0 and 1.
Male Probabilities should be between 0 and 1. Probabilities should be between 0 and 1. Probabilities should be between 0 and 1.
Totals Probabilities should be between 0 and 1. Probabilities should be between 0 and 1. Probabilities should be between 0 and 1.

(b)What are the marginal probabilities?

P(18- to 34-year-old female)

=

P(18- to 34-year-old male)

=

P(responded yes)

=

P(responded no)

= (c)What is the probability of living with family given you are an 18- to 34-year-old female 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 male 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,50.2% of 18- to 34-year-olds are male, do you consider this a good representative sample? Why?Since

P(18- to 34-year-old male) =

in this sample, this ---Select--- seems does not seem like a good representative sample based on gender.

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