The following table describes the distribution of a random sample S of 200 individuals, arranged by education level and income.   Income(Dollars per Year) < High School High School Diploma Some College Bachelor’s Degree Graduate Degree Post-Graduate 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 1 1 4 8 9 125,000-150,000 0 0 2 3 7 12 150,000+ 0 0 1 1 3 6   Let events be defined as follows: A = the event the subject makes 0-25,000 dollars per yearB = the event the subject makes 25,000-50,000 dollars per year C = the event the subject makes 50,000-75,000 dollars per yearD = the event the subject makes 75,000-100,000 dollars per yearE = the event the subject makes 100,000-125,000 dollars per yearF = the event the subject makes 125,000-150,000 dollars per yearG = the event the subject makes more than 150,000 dollars per yearH = the event the subject has not graduated high schoolI = the event the subject has only graduated high schoolJ = 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 degreeL = the event the subject’s highest level of education is a graduate degreeM = 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Question
  1. The following table describes the distribution of a random sample S of 200 individuals, arranged by education level and income.

 

Income
(Dollars per Year)

< High School

High School Diploma

Some College

Bachelor’s Degree

Graduate Degree

Post-Graduate 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

1

1

4

8

9

125,000-150,000

0

0

2

3

7

12

150,000+

0

0

1

1

3

6

 

Let events be defined as follows:

A = the event the subject makes 0-25,000 dollars per year
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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