Chapter 8.6, Problem 59E

(a)

To determine

To find: the number of people 25 years old or older who have advanced degrees.

Answer to Problem 59E

The number of people who have advanced degrees is 24.6211 millions.

Explanation of Solution

Given information:

The levels of educational attainment of the U.S population age 25 years or older in 2013 are shown in the circle graph. Use the fact that the population of people 25 years or older was 206.9 million in 2013.

Given graph:

  

Calculation:

Here, the percentage for advance degrees group is 11.9%.

The number of people who have advanced degrees is:

  $\begin{array}{c}11.9\%\cdot 206.9\text{millons=}\frac{11.9}{100}\times 206.9\\ =\frac{2462.11}{100}\\ =24.6211\text{millions}\end{array}$

(b)

To determine

To find: the probability that a person 25 years old or older selected at random has earned a Bachelor’s degree or higher.

Answer to Problem 59E

The probability is 0.201.

Explanation of Solution

Given information:

The levels of educational attainment of the U.S population age 25 years or older in 2013 are shown in the circle graph. Use the fact that the population of people 25 years or older was 206.9 million in 2013.

Given graph:

  

Calculation:

Here, the percentage for Bachelor’s degrees group is 20.1%.

The number of people who have aBachelor’s degrees is:

  $\begin{array}{c}20.1\%\cdot 206.9\text{millons =}\frac{20.1}{100}\times 206.9\\ =\frac{4158.69}{100}\\ =41.5869\text{millions}\end{array}$

Hence, the probability is:

  $\begin{array}{c}p\left(A\right)=\frac{41.8569}{206.9}\\ =0.201\end{array}$

(c)

To determine

To find: the probability that a person 25 years old or older selected at random has earned a high school diploma selected or gone on to post secondary education.

Answer to Problem 59E

The probability is 0.298.

Explanation of Solution

Given information:

The levels of educational attainment of the U.S population age 25 years or older in 2013 are shown in the circle graph. Use the fact that the population of people 25 years or older was 206.9 million in 2013.

Given graph:

  

Calculation:

Here, the percentage for High school diploma group is 29.8%.

The number of people who have High school diploma is:

y $\begin{array}{c}29.8\%\cdot 206.9\text{millons =}\frac{29.8}{100}\times 206.9\\ =\frac{6165.62}{100}\\ =61.6562\text{millions}\end{array}$

Hence, the probability is:

13 $\begin{array}{c}p\left(A\right)=\frac{61.6562}{206.9}\\ =0.298\end{array}$

(d)

To determine

To find: the probability that a person 25 years old or older selected at random has earned a degree.

Answer to Problem 59E

The probability is 0.713.

Explanation of Solution

Given information:

The levels of educational attainment of the U.S population age 25 years or older in 2013 are shown in the circle graph. Use the fact that the population of people 25 years or older was 206.9 million in 2013.

Given graph:

  

Calculation:

Here, the percentage for earning a degree group is:

  $29.8\%+9.8\%+20.1\%+11.6\%=71.3\%$

The number of people is:

  $\begin{array}{c}71.3\%\cdot 206.9\text{millons =}\frac{71.3}{100}\times 206.9\\ =\frac{14751.97}{100}\\ =147.5197\text{millions}\end{array}$

Hence, the probability is:

  $\begin{array}{c}p\left(A\right)=\frac{147.5197}{206.9}\\ =0.713\end{array}$