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.) 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). O A. The two characteristics in part (b) are collectively exhaustive, while those in part (c) are not. OB. The two characteristics in part (b) are mutually exclusive, while those in part (c) are not. OC. The joint event in part (c) includes the possibility that just one of the two characteristics occurs. Gender Male Female Total Felt Tense or Stressed Out at Work Yes 380 100 480 No Total 215 595 365 465 580 1060
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.) 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). O A. The two characteristics in part (b) are collectively exhaustive, while those in part (c) are not. OB. The two characteristics in part (b) are mutually exclusive, while those in part (c) are not. OC. The joint event in part (c) includes the possibility that just one of the two characteristics occurs. Gender Male Female Total Felt Tense or Stressed Out at Work Yes 380 100 480 No Total 215 595 365 465 580 1060
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text: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.)
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).
O A. The two characteristics in part (b) are collectively exhaustive, while those in part (c) are not.
O B. The two characteristics in part (b) are mutually exclusive, while those in part (c) are not.
O C. The joint event in part (c) includes the possibility that just one of the two characteristics occurs.
Gender
Male
Female
Total
Felt Tense or Stressed Out
at Work
Yes
380
100
480
No
215
365
580
Total
595
465
1060
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