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?