Determine the following probabilities: i) the probability that the individual was unemployed = P(A) ii) the probability that the individual was unemployed and the individual’s highest level completed was an Advanced degree = P(A and T) iii) the probability that the individual was unemployed or the individual’s highest level completed was an Advanced degree = P(A or T)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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Determine the following probabilities:
i) the probability that the individual was unemployed = P(A)
ii) the probability that the individual was unemployed and the individual’s highest level completed
was an Advanced degree = P(A and T)
iii) the probability that the individual was unemployed or the individual’s highest level completed was
an Advanced degree = P(A or T)
iv) the probability that the individual was unemployed given the individual’s highest level completed
was an Advanced degree = P(A | T)

Suppose we randomly select one individual from the sample below of those 21 to 64 years of age.
Employment status
Highest level
of school
completed
P: Not a high school graduate
Q: High school graduate
R: Some college
S: Bachelors degree
T: Advanced degree
Total
A: Unemployed
5
24
30
8
3
70
B: Employed
18
96
135
88
33
370
Total
23
120
165
96
36
440
Transcribed Image Text:Suppose we randomly select one individual from the sample below of those 21 to 64 years of age. Employment status Highest level of school completed P: Not a high school graduate Q: High school graduate R: Some college S: Bachelors degree T: Advanced degree Total A: Unemployed 5 24 30 8 3 70 B: Employed 18 96 135 88 33 370 Total 23 120 165 96 36 440
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