$$ 1 \leftarrow $$ A study was conducted of pleas made by 1,035 criminals. Among those criminals, 959 pled guilty, and 396 of them were sentenced to prison. Among the 76 other criminals, who pled not guilty, 52 were sent to prison. Complete (a) through (d). a. What percentage of the criminals pled guity? $$ 92.7 \% $$ (Round to the nearest tenth as needed.) b. What percentage of the criminals were sent to prison? $$ 433 \% $$ (Round to the nearest tenth as needed.) c. Among those who pled guilty, what is the percentage who were sent to prison? $$ \% \% $$ (Round to the nearest tenth as needed.)

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**a. Percentage of criminals who pled guilty**

The total number of criminals is $$1035$$, and the number who pled guilty is $$959$$. The percentage is computed by

$$
\text{Percentage} = \left(\frac{959}{1035}\right) \times 100.
$$

Calculating,

$$
\frac{959}{1035} \approx 0.9273,
$$

so

$$
0.9273 \times 100 \approx 92.7\%.
$$

**b. Percentage of criminals who were sent to prison**

Criminals sentenced to prison include both those who pled guilty and those who pled not guilty. From the data:

- Guilty pleas sentenced to prison: $$396$$
- Not guilty pleas sentenced to prison: $$52$$

Thus, the total number sent to prison is

$$
396 + 52 = 448.
$$

Now, the percentage is

$$
\text{Percentage} = \left(\frac{448}{1035}\right) \times 100.
$$

Calculating,

$$
\frac{448}{1035} \approx 0.4328,
$$

so

$$
0.4328 \times 100 \approx 43.3\%.
$$

**c. Percentage of those who pled guilty who were sent to prison**

Among the criminals who pled guilty ($$959$$ criminals), $$396$$ were sentenced to prison. The percentage is

$$
\text{Percentage} = \left(\frac{396}{959}\right) \times 100.
$$

Calculating,

$$
\frac{396}{959} \approx 0.4130,
$$

so

$$
0.4130 \times 100 \approx 41.3\%.
$$
**a. Percentage of criminals who pled guilty:** 92.7% **b. Percentage of criminals who were sent to prison:** 43.3% **c. Percentage of those who pled guilty who were sent to prison:** 41.3%

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