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Question:
The table below provides summary information about students in a class. The sex of each individual and the major is given.
Male Female TotalAccounting 12 18 30Finance 10 8 18Other 26 26 52Total 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?
Using a 1% level of significance, can the hypothesis that the distributions for the student's scores are identical be accepted?
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