A survey was conducted among 750 undergraduate students. 67 of these students ha
ID: 3351494 • Letter: A
Question
A survey was conducted among 750 undergraduate students. 67 of these students have a business minor (B), 102 participate in athletics (A), and 88 participate in clubs (C). 24 students have a business minor and participate in athletics. 41 students participate in both athletics and clubs. 14 students have a business minor and participate in clubs. 5 students are doing a business minor, athletics, and clubs. If you were to select a random undergraduate, find the probability that the....
a) Student does have a business minor but does not participate in athletics
b) Student does athletics and clubs but does not have a business minor
c) Student does any of the activities described: business minor, athletics, or clubs
Please show all work and explain your answer as best you can. Thank you.
Explanation / Answer
a) Student does have a business minor but does not participate in athletics
=N(B)-N(BnA) =67-24=43
b) Student does athletics and clubs but does not have a business minor =N(AnC)-N(AnBnC)=41-5=36
c)Student does any of the activities described: business minor, athletics, or clubs
=N(A)+N(B)+N(C)-N(AnB)-N(AnC)-N(BnC) +N(AnBnC) =183
N(T)= 750 N(A)= 102 N(B)= 67 N(C)= 88 N(AnB)= 24 N(BnC)= 14 N(AnC)= 41Related Questions
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