Summary information about students in a class


Question:

The table below provides summary information about students in a class. The sex of each individual and the major is given.

                    Male   Female   Total
Accounting      12       18        30
Finance           10        8        18
Other              26      26        52
Total              48       52       100

a. If a student is randomly selected from this group, what is the probability that the student is male?

b. If a student is randomly selected from this group, what is the probability that the student is a female who majors in accounting?

c. A student is randomly selected from this group, and it is found that the student is majoring in finance. What is the probability that the student is a male?

d. A student is randomly selected from this group, and it is found that the student is a male. What is the probability that the student is majoring in accounting?

e. A student is randomly selected from this group. Let A be the event that the student is an accounting major and let F be the event that the student is female. Are A and F independent and why or why not?

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Basic Statistics: Summary information about students in a class
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