A survey of needy and disabled youths showed that 54% of those who had no preschool education were arrested or charged with a crime by the time they were 19, whereas only 35% who had preschool education wound up in this category. The survey did not specify what percentage of the youths in the survey had preschool education, so let us take a guess at that and estimate that 19% of them had attended preschool. (Round all answers to the nearest 1%.) (a) What percentage of the youths arrested or charged with a crime had no preschool education? 43.74 X % (b) What would this figure be if 81% of the youths had attended preschool? %

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A survey of needy and disabled youths showed that 54% of those who had no preschool education were arrested or charged with a crime by the time they were 19,
whereas only 35% who had preschool education wound up in this category. The survey did not specify what percentage of the youths in the survey had preschool
education, so let us take a guess at that and estimate that 19% of them had attended preschool. (Round all answers to the nearest 1%.)
(a) What percentage of the youths arrested or charged with a crime had no preschool education?
43.74
X %
(b) What would this figure be if 81% of the youths had attended preschool?
%
Transcribed Image Text:A survey of needy and disabled youths showed that 54% of those who had no preschool education were arrested or charged with a crime by the time they were 19, whereas only 35% who had preschool education wound up in this category. The survey did not specify what percentage of the youths in the survey had preschool education, so let us take a guess at that and estimate that 19% of them had attended preschool. (Round all answers to the nearest 1%.) (a) What percentage of the youths arrested or charged with a crime had no preschool education? 43.74 X % (b) What would this figure be if 81% of the youths had attended preschool? %
Expert Solution
Step 1

Assume events,

A: attended preschool

B: arrested

Step 2

a. Here,

P(A)= 0.19

P(A’)=1- P(A)=0.81

P(B|A)=0.35

P(B|A’)=0.54

Step 3

Determine P(A’|B) using Bayes theorem.

Advanced Math homework question answer, step 3, image 1

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