Do males or females feel more tense or stressed out at work? A survey of employe

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 325 Female 340 665 No Total 285 610 110 450 395 1060 Male Total 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.) 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.) c. What is the probability that a randomly selected person feels tense or stressed out at work or is female? (Type an integer or a decimal. Round to three decimal places as needed.) d. Explain the difference in the results in (b) and (c) 0 A. O B. O C. The two characteristics in part (b) are collectively exhaustive, while those in part (c) are not. The joint event in part (c) includes the possibility that just one of the two characteristics occurs. The two characteristics in part (b) are mutually exclusive, while those in part (c) are not.

Explanation / Answer

a) P(female) = 450/1060 = 0.425

b) P(feels tense or stressed out at work and female) = 340/1060 = 0.321

c) P(feels tense or stressed out at work or female) = (665 + 450 - 340)/1060 = 0.731

d) Option - B) The joint event in part(c) includes the possibility that just one of the two characteristics occurs.

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