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Do males or females feel more tense or stressed out at​ work? A survey of employed...

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.

Gender Yes No Total

Male 330   120   450
Female 320    285   605
Total 650   405   1055

a. What is the probability that a randomly selected​ person's gender is​ female?

b. What is the probability that a randomly selected person feels tense or stressed out at work and is​ female?

c.  What is the probability that a randomly selected person feels tense or stressed out at work or is​ female?

d. Explain the difference in the results in​ (b) and​ (c).

A.The two characteristics in part​ (b) are collectively​ exhaustive, while those in part​ (c) are not.

B.The two characteristics in part​ (b) are mutually​ exclusive, while those in part​ (c) are not.

C.The joint event in part​ (c) includes the possibility that just one of the two characteristics occurs.

Math   Statistics-And-Probability   
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