Question

do males or females feel more tense or stressed out at work? a survey of employed adults conducted online by a company on behalf of a research organization revealed the data in the contingency table shown to the right. complete parts (a) through (d) below.
a. what is the probability that a randomly selected person’s gender is female?
(type an integer or a decimal. round to three decimal places as needed.)

gender | felt tense or stressed out at work

yes

no

total

male | 305 | 200 | 505
female | 315 | 100 | 415
total | 620 | 300 | 920

Explanation:

Step1: Find total number of people

The total number of people is the sum of all totals in the table, which is \( 920 \) (from the "Total" row of "Total" column).

Step2: Find number of females

From the table, the total number of females is \( 415 \) (from the "Total" row of "Female" column).

Step3: Calculate probability

The probability of selecting a female is the number of females divided by the total number of people, so \( \frac{415}{920} \approx 0.451 \)

Answer:

\( 0.451 \)