1. The approximately 210 million adult Americans (age 25 and over in 2009) were

Question

1. The approximately 210 million adult Americans (age 25 and over in 2009) were classified by educational attainment and race as follows. (The actual figures have been rourided to millions to make the computations easier.) Source of data: Statistical Abstract of the United States, 2010 Educational Attainment White Black Latino No High Schol Diploma 200000 400000 10,50000 000,000 4,000,000 10,500,000 77,000,000 15,500,000 12,000,000 Completed High School, But not four years of college 61,000,000 4,500,000 3,500,000 Completed four years or more Of college Totals 160,000,000 24,000,000 26,000,000 a) Calculate the probabilities of each of the following. Report your results in one well- below designed table(s). Be sure to explain what your results mean by answering the questions i) Selecting an adult who does not have a high school diploma i) Selecting an adult who has completed a college education What do these two numbers tell us? ii) Selecting an adult who is white versus one who is black vs. one who is Latino. What do these three numbers tell us?

Explanation / Answer

Solution

Probability table

(a) P(no high school diploma) = 0.1048+0.019+0.05 = 0.1738

(b) P(completed a college education) = 0.2905+0.0214+0.0167 = 0.3286

Adults who completed college education are 32.86%

(c) P(white) = 0.762

P(black) = 0.1142

P(latino) = 0.1238

white are the highest number of people followed by latino and black

(d) P(white completed college) = 0.2905

P(white or completed college) = 0.762+0.3286-0.2905 = 0.8001

white black latino No high school diploma 0.1048 0.0190 0.05 completed high school butnot 4 years of college 0.3667 0.0738 0.0571 Completed 4 years or more of college 0.2905 0.0214 0.0167

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