Question

a survey of 400 employed adults asked if they felt tense or stressed out at work with the accompanying results. complete parts (a) through (d) below.
a. given that the employed adult felt tense or stressed out at work, what is the probability that the employed adult was female?
(round to four decimal places as needed.)
study results
felt tense or stressed out at work
gender | yes | no
male | 80 | 120
female | 106 | 94
print done

Explanation:

Step1: Find total who felt tense

First, find the total number of employed adults who felt tense or stressed out at work. We add the number of males and females who said "Yes". So, \( 80 + 106 = 186 \).

Step2: Calculate probability

The probability that an employed adult who felt tense is female is the number of females who felt tense divided by the total number of adults who felt tense. So, \( \frac{106}{186} \approx 0.5699 \).

Answer:

\( 0.5699 \)