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.

felt tense or stressed out at work
gender | yes | no | total
male | 305 | 200 | 505
female | 315 | 100 | 415
total | 620 | 300 | 920

a. what is the probability that a randomly selected person’s gender is female? 0.451 (type an integer or a decimal. round to three decimal places as needed.)

b. what is the probability that a randomly selected person feels tense or stressed out at work and is female? (type an integer or a decimal. round to three decimal places as needed.)

Explanation:

Part a

Step1: Identify total and female count

Total people = 920, Female total = 415.

Step2: Calculate probability

Probability = $\frac{\text{Female total}}{\text{Total people}}$ = $\frac{415}{920}$ ≈ 0.451.

Step1: Identify favorable and total

Favorable (female and tense/stressed) = 315, Total = 920.

Step2: Calculate probability

Probability = $\frac{315}{920}$ ≈ 0.342.

Answer:

0.451

Part b