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19. (12.42) Choose a random a person aged 15 to 44 years. Ask their age and who

ID: 3073159 • Letter: 1

Question

19. (12.42) Choose a random a person aged 15 to 44 years. Ask their age and who they live with (alone, with spouse, with other persons). Here is the probability model for 12 possible answers: 15-19 20-24 25-3435-44 0.001 0.012 0.03 0.029 Alone 0.001 0.02 0.16 0.209 With others (not a spouse 0.173 0.130.143 0.092 With spouse (a) Is this is a legitimate finite probability model Yes O No (b) What is the probability that the person chosen is a 15- to 19-year-old who lives with others (not a spouse)? (c) What is the probability that the person is 15 to 19 years old? (d) What is the probability that the person chosen lives with others (not a spouse)?

Explanation / Answer

Ans:

a)Yes,as all probabilities sum upto 1.

b)P(15-19 and others)=0.173

c)P(15-19 yrs)=0.001+0.001+0.173=0.175

d)P(with others)=0.173+0.13+0.143+0.092=0.538

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