The shaded regions in the circle graphs, shown to the right, show the percentage
ID: 3060649 • Letter: T
Question
The shaded regions in the circle graphs, shown to the right, show the percentage of children in the United States whose parents are college graduates in one-parent and two-parent households. Use the information shown to solve parts a. and b. Percentage of U.S. Children Whose Parents Are College Graduates 27% In One-Parent Housholds In Two-Parent Housholds a. What are the odds in favor of a child in a two-parent household having a parent who is a college graduate? The odds in favor of a child in a two-parent household having a parent who is a college graduate are (Simplify your answer) b. What are the odds against a child in a two-parent household having a parent who is a college graduate? The odds against a child in a two-parent household having a pannt who is a col ge graduate are Simplity your answer.)Explanation / Answer
Solution:
From the diagram, a child in a one-parent house hold having a parent who is a college graduate is
= 7% = 7/100
Let E is the event of a parent who is a college graduate in a one-parent household. P(E) = 7/100
P(not E) = 1- 7/100 = 100 - 7/100 = 93/100
a) Odds in favor of a child in a one-parent household having a parent who is a college graduate is
= P(E)/P(not E) = 7/100/93/100
= 7/100 *100/93 = 7/93
Odds in favor of a child in a one-parent household having a parent who is a college graduate = 7 : 93
(b) Odds against a child in a one-parent household having a parent who is a college graduate is
= P(not E)/P(E)
= 93/100/7/100
= 93/100 *100/7
= 93/7
Odds against a child in a one-parent household
having a parent who is a college graduate = 93 : 7
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