Choose at random a person aged 15 to 44 years. Ask their age and who they live w
ID: 3134984 • Letter: C
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: No Yes (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
(a)The model is finite as the outcomes are finite numbers.
The model is legitimate as all the probabilities add to exactly 1:
0.001+…+0.09=1
(b)The probability that a selected person is 15-19 years old who lives with others not a spouse is 0.182.
(c) The probability that a selected person is 15-19 years old is 0.001+0.001+0.182=0.184
(d) The probability that a selected person lives with others not a spouse is:
0.182+0.134+0.14+0.09=0.546