Question

Source: Harper's Index. In 2013 about 66% of full-time law enforcement workers were sworn officers, and of those, 88.4% were male. Females, however, make 60.7% of civilian employees. Choose one law enforcement worker at random and find the following.

The probability that she is a female sworn officer.

a. 0.262
b. 0.174
c. 0.838
d. 0.626

Answer 1

The probability of selecting a female sworn officer from a randomly selected law enforcement worker can be found using the given information. By calculating the percentage of female sworn officers out of all full-time law enforcement workers, we determine this probability to be approximately 0.764% or 0.00764.

Step-by-step explanation:

To find the probability that a randomly selected law enforcement worker is a female sworn officer, we need to consider the given information. In 2013, 66% of full-time law enforcement workers were sworn officers. Out of those sworn officers, 88.4% were male. Females make up 60.7% of civilian employees.

Since the question asks for the probability of selecting a female sworn officer, we need to find the percentage of sworn officers who are female.

Let's calculate it:

Probability of selecting a female sworn officer = (Percentage of sworn officers who are female) x (Percentage of full-time law enforcement workers who are sworn officers)

= (100% - Percentage of sworn officers who are male) x (Percentage of full-time law enforcement workers who are sworn officers)

= (100% - 88.4%) x 66%

= 11.6% x 66%

= 0.764%

Therefore, the probability that a randomly selected law enforcement worker is a female sworn officer is approximately 0.764%, which is equivalent to 0.00764.