# Basic Statistics and Probability Household Income

51. The following cross tabulation shows household income by educational level of the Head of household (Statistical Abstract of the United States:2002)

Under 25.0- 50.0- 75.0- 100 or

Education Level 25 49.9 74.9 99.9 more total

Not HS Grads. 9,285 4,093 1,589 541 354 15,862

HS Graduates 10,150 9,821 6,050 2,737 2,028 30, 786

Some college 6,011 8,221 5,813 3,215 3,120 26, 380

Bachelor degree 2,138 3,985 3,952 2,698 4,748 17,521

Beyond Bachelor 813 1,497 1,815 1,589 3,765 9,479

Degree

TOTAL 28,397 27,617 19,219 10,780 14,015 100, 028

A. Develop a joint probability table.

B. What is the probability of a head of household not being a high school graduate?

C. What is the probability of a head of household having a Bachelor's degree or more

Education?

D. What is the probability of a household headed by someone with a Bachelor's degree

Earning $100,000 or more?

E. What is the probability of a household having income below $25,000?

F. What is the probability of a household headed by someone with a Bachelor's degree

Earning less than $25,000

G. Is household income independent of education level?

I need a paragraph that explains mutually exclusive and independent events. In the paragraph answer the questions:

A. What does it mean if two events are mutually exclusive? Give an example

B. What does it mean if two events are dependent? Independent? Give an example

C. Can a pair of events be both mutually exclusive and independent?

See attached file for full problem description.

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#### Solution Summary

The solution gives complete details of calculating basic probabilities like probability density function, distribution function, marginal probability, conditional probability and joint probability distribution.