Question 135556
A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students: 
Major
Gender Accounting Management Finance Total
Male.... 100........ 150...... 50.... 300
Female.. 100......... 50...... 50.... 200
Total... 200........ 200..... 100.... 500
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a. What is the prob of selecting a female student?: 200/500 = 2/5
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b. What is the prob of selecting a finance or accounting major?: = 300/500
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c. What is the prob of selecting a female or an accounting major? Which rule of addition did you apply?: (200+200-100)/500= 3/5; P(AorB)=P(A)+P(B)-P(AandB)
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d. Are gender and major independent? Why?: No because there is an intersection.
or P(male|acct) is not equal to P(male)*P(acct)
P(male|acct) = 1/2 ; P(male)*P(acct) = (3/5)(2/5) = 6/25
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e. What is the prob of selecting an accounting major, given that the person selected is a male? P(acct|male) = 100/200 = 1/2
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f. Suppose two students are selected randomly to attend a lunch with the president of the university. What is the prob that both of those selected are accounting majors? : 200C2/500C2 = 0.15952...
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Cheers,
Stan H.