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)
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.
| Felt Tense or Stressed Out at Work | ||||
|---|---|---|---|---|
| Gender | Yes | No | ||
| Male | 80 | 120 | ||
| Female | 101 | 99 |
a. Given that the employed adult felt tense or stressed out at work, what is the probability that the employed adult was female?
b. Given that the employed adult is female, what is the probability that she felt tense or stressed out at work?
c. Explain the difference in the results in(a) and(b).
A. The numerator and denominator of the probability is reversed.
B. The conditional events are reversed.
C. Part(a) is a conditional probability while part(b) is a general probability.
D.There is no difference in the results in(a) and(b).
d. Is feeling tense or stressed out at work and gender independent?
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Proofs And Fundamentals A First Course In Abstract Mathematics
Authors: Ethan D Bloch
2nd Edition
1441971270, 9781441971272
