The following cross tabulation gives the distribution of a variable measuring wh
ID: 3064265 • Letter: T
Question
The following cross tabulation gives the distribution of a variable measuring whether men and women felt stress at work.
Gender /Felt Stressed at Work
Male
Female
Total
Yes
244
282
526
No
495
480
975
Total
739
762
1,501
a. What is the probability that a person who is randomly chosen (as in a name chosen out of a hat) feels stressed?
b. Calculate the probability that a stressed person is female.
c. Calculate the probability that a female is stressed.
d. Which gender do you think is more stressed? Explain why you think this.
Gender /Felt Stressed at Work
Male
Female
Total
Yes
244
282
526
No
495
480
975
Total
739
762
1,501
Explanation / Answer
a)P(feels stressed) =526/1501=0.3504
b) P(stressed person is female) =282/526=0.5361
c) P(probability that a female is stressed) =282/762=0.3701
d) as probability of a male to be stressed =244/739=0.3302 is lower than a female to be stressed
we expect that female are more strerssed
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