51

51. The following crosstabulation 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?