Chapter 8.6, Problem 55E

a.

To determine

To estimate: the number of females 25 years old or older who have advance degrees.

Answer to Problem 55E

The number of females 25 years of older who have advance degrees is 14.638 million.

Explanation of Solution

Given information: The levels of education attainment of females age 25 years or older in the U.S. in 2017 are shown in the circle graph. The population of females 25 years or older was 112.6 million in 2017.

  

Calculation:

The total number of females 25 years of older = 112.6 million.

From the graph the number of females 25 years of older who have advance degrees=13% of 112.6.

The number of females 25 years of older who have advance degrees,

  $=\frac{13}{100}\times 112.6=14.638$ million.

b.

To determine

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

Answer to Problem 55E

The Probability of a female 25 years of older who has Bachelor’s degree or higher is 0.25.

Explanation of Solution

Given information: The levels of education attainment of females age 25 years or older in the U.S. in 2017 are shown in the circle graph. The population of females 25 years or older was 112.6 million in 2017.

  

Calculation:

The total number of females 25 years of older = 112.6 million.

From the graph the number of females 25 years of older who has Bachelor’s degree or higher=Bachelor’s degree + Advance degree=22%+13% =35% of 112.6.

The number of females 25 years of older who has Bachelor’s degree or higher,

  $=\frac{35}{100}\times 112.6=39.41$ million

The Probability of a females 25 years of older who has Bachelor’s degree or higher= (the number of females 25 years of older who has Bachelor’s degree or higher)/ (total number of females 25 years of older)

The Probability of a females 25 years of older who has Bachelor’s degree or higher,

= $\frac{39.41}{112.6}=0.35$

c.

To determine

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

Answer to Problem 55E

The probability that a female 25 years old or older selected at random has earned a high school diploma or gone on to post-secondary education is 0.28

Explanation of Solution

Given information: The levels of education attainment of females age 25 years or older in the U.S. in 2017 are shown in the circle graph. The population of females 25 years or older was 112.6 million in 2017.

  

The total number of females 25 years of older = 112.6 million.

From the graph the number of female 25 years old or older has earned a high school diploma or gone on to post-secondary education.

= high school diploma=28%=28% of 112.6.

The number of females 25 years of older who has earned a high school diploma or gone on to post-secondary education,

  $=\frac{28}{100}\times 112.6=31.528$ million.

The Probability of a females 25 years of earned a high school diploma or gone on to post-secondary education=(the number of females 25 years of older earned a high school diploma or gone on to post-secondary education)/(total number of females 25 years of older)

The Probability of a females 25 years of older earned a high school diploma or gone on to post-secondary education,

= $\frac{31.528}{112.6}=0.28$ .

d.

To determine

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

Answer to Problem 55E

The Probability of a females 25 years of older who has degree is 0.46.

Explanation of Solution

Given information: The levels of education attainment of females age 25 years or older in the U.S. in 2017 are shown in the circle graph. The population of females 25 years or older was 112.6 million in 2017.

  

The total number of females 25 years of older = 112.6 million.

From the graph the number of females 25 years of older who has earn a degree =Bachelor’s degree + Advance degree + Associate’s degree=22%+13% +11=46% of 112.6.

The number of females 25 years of older who has a degree.

  $=\frac{46}{100}\times 112.6=51.796$ million

The Probability of a females 25 years of older who has degree= (the number of females 25 years of older who has degree)/(total number of females 25 years of older)

The Probability of a female 25 years of older who has degree,

= $\frac{51.796}{112.6}=0.46$