From the given Joint probability table, answer the questions given below.   Household Income   Highest Level of Education Under $25000 $25000 to $49999 $50000 to $99999 $100,000 and over Total High School graduate 0.150508805 0.151879837 0.143821217 0.05304369 0.499254 Bachelor's degree 0.03781 0.06343306 0.1167814 0.119082 0.337137 Master's degree 0.010435 0.01835659 0.0459905 0.062367 0.137149 Doctoral degree 0.001203 0.00243739 0.0064286 0.016391 0.026461 Total 0.199988 0.23610688 0.3130218 0.250884 1 1. What is the probability one of these household has an income below $25000? 2.What is the probability a household is headed by someone with a bachelor's degree earning less than $25000? 3. Are household income and educational level independent?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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From the given Joint probability table, answer the questions given below.

  Household Income  
Highest Level of Education Under $25000 $25000 to $49999 $50000 to $99999 $100,000 and over Total
High School graduate 0.150508805 0.151879837 0.143821217 0.05304369 0.499254
Bachelor's degree 0.03781 0.06343306 0.1167814 0.119082 0.337137
Master's degree 0.010435 0.01835659 0.0459905 0.062367 0.137149
Doctoral degree 0.001203 0.00243739 0.0064286 0.016391 0.026461
Total 0.199988 0.23610688 0.3130218 0.250884 1

1. What is the probability one of these household has an income below $25000?

2.What is the probability a household is headed by someone with a bachelor's degree earning less than $25000?

3. Are household income and educational level independent?

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