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Chapter 7: Problem 20

A study conducted by the Corrections Department of a certain state revealed that 163,605 people out of a total adult population of \(1,778,314\) were under correctional supervision (on probation, on parole, or in jail). What is the probability that a person selected at random from the adult population in that state is under correctional supervision?

Short Answer

Expert verified
The probability that a person selected at random from the adult population in that state is under correctional supervision is \(0.092\), or 9.2% as a percentage.

Step by step solution

01

Write down the given values

We have the following values given: - Number of people under correctional supervision = 163,605 - Total adult population = 1,778,314
02

Calculate the probability

To find the probability that a randomly selected person is under correctional supervision, we will divide the number of people under correctional supervision by the total adult population. Probability = (Number of people under correctional supervision) / (Total adult population)
03

Substitute the given values

Now, substitute the given values into the probability formula: Probability = (163,605) / (1,778,314)
04

Simplify the fraction

Now, we can simply divide the numerator by the denominator to get the probability: Probability = 0.092
05

Write the answer

The probability that a person selected at random from the adult population in that state is under correctional supervision is 0.092, or as a percentage, 9.2%.

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