Choose at random a person aged 15 to 44 years. Ask heir age and who they live wi
ID: 3149915 • Letter: C
Question
Choose at random a person aged 15 to 44 years. Ask heir age and who they live with (alone, with spouse, with other person). Here is the probability model for 12 possible answers. Is this a legitimate finite probability model? Give reasons. What is the probability that the person chosen is a 15 to 19 year old who lives with others (not a spouse) What is the probability that the person is 15 to 19 year old? What b the probability that tire person chosen lives with others (not a spouse)? Let A is a event defined as : A = { The person chosen is either 15 to 19 years old or lives with others, or both}. What is P(A)? What b the probability that the person chosen is 20 years old or older? What b the probability that the person chosen does not live alone?Explanation / Answer
(a)Yes, this is a legitimate finite probability model as all probabilities sum up to 1.
(b)The required probability is:
P(15 to 19 years and lives with others)=0.168
(c)P(15 to 19 years)
=0.001+0.001+0.168=0.17
(d)P(a person lives with others not a spouse)
=0.168+0.139+0.149+0.092
=0.548
(f)P(X>=20)=0.010+0.021+0.139+0.032+0.151+0.149+0.028+0.208+0.092
=0.83