Consider the following example survey results of 18 to 34 year old in the US in response to the question "Are you currently living with your family?"

YES NOT Totals

Men 106 141 247

Women 92 161 253

Totals 198 302 500

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

Women

Totals

b What are the marginal probabilities?P(Men) =

P(Women) =

P( Yes) =

P(No) =

c) What is the probability of living with your family GIVEN THAT you are men?

d) What is the probability of living with your family GIVEN THAT you are women?

e) What is the probability of living with family ?

f) If the person is female, what is the probability of not living with family?