/20 pts) Focusing on table of data for the up- to-4-daughters-rule simulation, f
ID: 3052706 • Letter: #
Question
/20 pts) Focusing on table of data for the up- to-4-daughters-rule simulation, find the following total # of total # of families under the up-to-4 daughters-rule: zero boys one boy boys born girls born zero girls8 two girls 11 four girls 6 one girl 17 19 10 10 2 three girls 4 0 54 75 totals: If we select a family at random, what is the probability that the family will have exactly two girls and a boy? a. 10 There is a 101. Chance If we select a family at random, what is the probability that the family will have at least two girls? b. If we select a family at random, what is the probability that the family will have one girl or one boy? c. If we select a child at random from among all the children born under this system, what is the probability d. that the child will be a girl? If we select a girl from among all the children born under this system, what is the probability that she has a younger brother? e.Explanation / Answer
a.
Number of families = 8 + 17 + 11 + 4 + 6 + 22 + 19 + 10 + 3 + 0 = 100
Probability that the family will have exactly 2 girls and a boy = (Total number of families with 2 girls and a boy) / Total number of families
= 10 /100 = 0.1
b.
Probability that the family will have atleast 2 girls = (Total number of families with atleast 2 girls) / Total number of families
= (11 + 10 + 4 + 3 + 6 + 0) / 100 = 0.34
c.
Probability that the family will have one girl and one boy = (Total number of families with one girl + Total number of families with one boy) / Total number of families
= (17 + 19 + 22 + 10 + 3 + 0) / 100 = 0.71
d.
Probability of girl = Total number of girls / (Total child) = 75 / (54 + 75) = 0.5814
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.