You can
put this solution on YOUR website!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
-----------------------------------------------
a. What is the prob of selecting a female student?: 200/500 = 2/5
-------------------------------------------
b. What is the prob of selecting a finance or accounting major?: = 300/500
---------------------------------------------
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)
-----------------------------------------------
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
------------------------------------------------------------
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
------------------------------------------------------
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...
-------------------------------------------------------
Cheers,
Stan H.
(