Question

Education of Prisoners. In the article "Education and Correctional Populations" (Bureau of Justice Statistics Special Report, NCJ 195670), C. Harlow examined the educational attainment of prisoners by type of prison facility. The following contingency table was adapted from Table 1 of the article. Frequencies are in thousands, rounded to the nearest hundred.

	State	Federal	Local	Total
8th grade or less	149.9	10.6	66.0	226.5
some high school	269.1	12.9	168.2	450.2
GED	300.8	20.1	71.0	391.9
High school diploma	216.4	24.0	130.4	370.8
Postsecondary	95.0	14.0	51.9	160.9
College grad and more	25.3	7.2	16.1	48.6
Total	1056.5	88.8	503.6	1648.9

How many prisoners

a. are in state facilities?

b. have at least a college education?

c. are in federal facilities and have at most an 8th-grade education?

d. are in federal facilities or have at most an 8th-grade education? e. in local facilities have a postsecondary educational attainment

f. who have a postsecondary educational attainment are in local facilities?

g. are not in federal facilities?

Short answer

(a)The total number of prisoners state facilities is 1,056.5.

(b)There are 48.6 prisoners having at least a college education.

(c) The number of prisoners in government facilities and at least have a Grade 8 education is 10.6.

(d)The number of prisoners is in federal facilities or have at most an 8th-grade education 304.7.

(e)51.9 prisoners are there.

(f)51.9 prisoners are there.

(g)1,560.1 prisoners are there.

Step-by-step solution

Step 1. Given 

The given Contingency table is

	State	Federal	Local	Total
8th grade or less	149.9	10.6	66.0	226.5
some high school	269.1	12.9	168.2	450.2
GED	300.8	20.1	71.0	391.9
High school diploma	216.4	24.0	130.4	370.8
Postsecondary	95.0	14.0	51.9	160.9
College grad and more	25.3	7.2	16.1	48.6
Total	1056.5	88.8	503.6	1648.9

Step 2.  Finding the number of prisoners 

The total number of prisoners state facilities is 1,056.5.

Step 3. Finding the number of prisoners having at least a college education 

There are 48.6 prisoners having at least a college education

Step 4. Find the number of prisoners in government facilities and at least have a Grade 8 education using the provided emergency table.

The number of prisoners in government facilities and at least have a Grade 8 education is 10.6

Step 5. Find the number of prisoners is in federal facilities or have at most an 8th-grade education by using given contingency table

The number of prisoners is in federal facilities or have at most an 8th-grade education 304.7.

Step 6. Find the number of prisoners is in local facilities have a postsecondary educational attainment by using given contingency table.

51.9 prisoners are there.

Step 7. Find the number of prisoners in local facilities have a postsecondary educational attainment

51.9 Prisoners are there

Step 8. Find the number of prisoners not in federal facilities

1,560.1 prisoners are there.