Chapter 8.6, Problem 58E

(a)

To determine

To find: the number of unemployed workers in the 16-19 age group.

Answer to Problem 58E

The number of unemployed workers is 1.3752 millions.

Explanation of Solution

Given information:

In 2013, there were approximately 11.46 million unemployed workers in the U.S. The circle graph shows the age profit of these unemployed workers.

Given graph:

  

Calculation:

Here, the percentage for 16-19 age group is 12%.

The number of unemployed workers is:

  $\begin{array}{c}12\%\cdot 11.46\text{millons=}\frac{12}{100}\times 11.46\\ =\frac{137.52}{100}\\ =1.3752\text{millions}\end{array}$

(b)

To determine

To find: the number of unemployed workers who are 45 years or older.

Answer to Problem 58E

The number of unemployed workers is 3.3234 millions.

Explanation of Solution

Given information:

In 2013, there were approximately 11.46 million unemployed workers in the U.S. The circle graph shows the age profit of these unemployed workers.

Given graph:

  

Calculation:

Here, the percentage for 45-46 age group is 29%.

The number of unemployed workers is:

  $\begin{array}{c}29\%\cdot 11.46\text{millons=}\frac{29}{100}\times 11.46\\ =\frac{332.34}{100}\\ =3.3234\text{millions}\end{array}$

(c)

To determine

To find: the probability that a person selected at random from the population of unemployed workers is in the 25-44 age group.

Answer to Problem 58E

The probability is 0.39.

Explanation of Solution

Given information:

In 2013, there were approximately 11.46 million unemployed workers in the U.S. The circle graph shows the age profit of these unemployed workers.

Given graph:

  

Calculation:

Here, the percentage for 25-44 age group is 39%.

The number of unemployed workers is:

  $\begin{array}{c}39\%\cdot 11.46\text{millons=}\frac{39}{100}\times 11.46\\ =\frac{446.94}{100}\\ =4.4694\text{millions}\end{array}$

Hence, the probability is:

  $\begin{array}{c}p\left(A\right)=\frac{4.4694}{11.46}\\ =0.39\end{array}$

(d)

To determine

To find: the probability that a person selected at random from the population of unemployed workers is in the 25-64 years old.

Answer to Problem 58E

The probability is 0.68.

Explanation of Solution

Given information:

In 2013, there were approximately 11.46 million unemployed workers in the U.S. The circle graph shows the age profit of these unemployed workers.

Given graph:

  

Calculation:

Here, the percentage for 25-64 age group is $39\%+29\%=68\%$

The number of unemployed workers is:

  $\begin{array}{c}68\%\cdot 11.46\text{millons=}\frac{68}{100}\times 11.46\\ =\frac{779.28}{100}\\ =7.7928\text{millions}\end{array}$

Hence, the probability is:

  $\begin{array}{c}p\left(A\right)=\frac{7.7928}{11.46}\\ =0.68\end{array}$

(e)

To determine

To find: the probability that a person selected at random from the population of unemployed workers is 45 or older.

Answer to Problem 58E

The probability is 0.29.

Explanation of Solution

Given information:

In 2013, there were approximately 11.46 million unemployed workers in the U.S. The circle graph shows the age profit of these unemployed workers.

Given graph:

  

Calculation:

The number of unemployed workers above age is: 3.3234 millions.

Hence, the probability is:

  $\begin{array}{c}p\left(A\right)=\frac{3.3234}{11.46}\\ =0.29\end{array}$