Income High Post- (Dollars per < High School Some Bachelor's Graduate Graduate Year) School Diploma College Degree Degree Degree 0-25,000 12 8 3 2 1 0 25,000-50,000 7 12 9 12 11 2 50,000-75,000 1 3 4 6 14 5 75,000-100,000 0 2 1 8 11 8 100,000-125,000 0 125,000-150,000 0 150,000+ 1 1 4 8 9 0 2 3 7 12 0 0 1 1 3 6
The table describes the distribution of a random sample S of 200 individuals,
arranged by education level and income.
Let events be defined as follows:
A = the
B = the event the subject makes 25,000-50,000 dollars per year
C = the event the subject makes 50,000-75,000 dollars per year
D = the event the subject makes 75,000-100,000 dollars per year
E = the event the subject makes 100,000-125,000 dollars per year
F = the event the subject makes 125,000-150,000 dollars per year
G = the event the subject makes more than 150,000 dollars per year
H = the event the subject has not graduated high school
I = the event the subject has only graduated high school
J = the event the subject has some college (but not a Bachelor’s degree)
K = the event the subject’s highest level of education is a Bachelor’s degree
L = the event the subject’s highest level of education is a graduate degree
M = the event the subject has earned a post-graduate degree
Using the formula, P(A|B) = [P(A and B)]/(P(B), find the probability of the complement
of G given L or M. What does this probability mean in context?
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