Choose at random a person aged 15 to 44 years. Ask their age and who they live w

Question

Choose at 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:

(a) Is this is a legitimate finite probability model:

(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)?

15 19 20 24 25 34 35 44 0.001 0.009 0.03 0.027 Alone 0.001 0.021 0.15 0.2 With spouse With others (not a spouse) 0.181 0.145 0.14 0.095

Explanation / Answer

                                        15-19        20-24       25-34          35-44    Total

Alone                               0.001        0.009        0.03           0.027    0.067

With spouse                      0.001       0.021        0.15           0.2        0.372

With others                       0.181     0.145           0.14         0.095       0.561

Total                                   0.183      0.175      0.32            0.322     1.00

(a) Since the total is 1.00, this is a legitimate finite probability model.

(b) P(15-19 & with others) = 0.181

(c) P(15-19) = 0.183

(d) P(with others) = 0.561

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