I would be grateful if the work can be shown It is common for governments to gat
ID: 3067975 • Letter: I
Question
I would be grateful if the work can be shown
It is common for governments to gather data on family structure in the population. Information on family structure distribution is important because of the known associations between family structure and child well-being, behavior, and general success in life. Additionally, information on family structure in the population has business implications for such things as day care for employees and location of work (for example, from home or at organization). Here are data from 2006 on Canadian families with at least one child 9. Common- law Married Mother Father Number of children couple couple only only One child at home,267,625 291,255 682,025188,790 Two children at home ,497,755 234,755 327,660 72,655 Three or more children at home 678,405 92,140 122,605 20,320 (a) What is the probability that a randomly chosen child belongs to a "Father-only family" and is the only (b) If you know that the family chosen is a "common-law couple", what is the probability that the family (c) If you know that the family chosen is a "married couple", what is the probability that the family has (d) Are the events "Father-only family" and "one child at home" independent? How do you know? child at home? has three or more children? three or more children?Explanation / Answer
Ans:
a)P(Father only and one child)=188790/5475990=0.034
b)P(Three or more/Common-law)=P(Three or more and Common-Law)/P(Common-Law)
=(92140/5475990)/(618150/5475990)
=92140/618150=0.149
c)P(Three or more/Married couple)=P(Three or more and Married couple)/P(Married couple)
=(678405/5475990)/(3443785/5475990)
=678405/3443785
=0.197
d)P(Father only)=281765/5475990=0.0515
P(one child)=2429695/5475990=0.4437
P(father only)*P(one child)=0.0515*0.4437=0.0228,which is not equal to P(father and one child)=0.034
*(For two events A and B to be independent,P(A and B)=P(A)*P(B))
Hence,"father only family" and "one child at home" are not independent events.
Married Common-Law Mother only Father only Total One child 1267625 291255 682025 188790 2429695 Two children 1497755 234755 327660 72655 2132825 Three or more 678405 92140 122605 20320 913470 Total 3443785 618150 1132290 281765 5475990