Math  /  Data & Statistics

QuestionA survey of 135 freshmen busjness students at a local university produced the results listed below. 32 took English: 37 took math; 36 took religion; 16 took English but not math; 11 took math and religion: 12 took English and religion; 6 took all three Using the same reasoning as in the previous problem, we can find that the Purple region has a cardinality of 6.
Question: Find the Cardinality of the Brown region using: "32 took English; and "16 took English but not math;" Hint: English but not Math is Yellow + Purple
Hine DO NOT try to use a formula. Think your way through it. And DRAW the Venn Diagram!

Studdy Solution
Finally, calculate the number of students who took only English (Brown region) by subtracting those who took English and Math (Blue), English and Religion (Green), and all three subjects (Purple) from the total number of students who took English. E(MR)=E(EMR+ERM+EMR) |E \setminus (M \cup R)| = |E| - (|E \cap M \setminus R| + |E \cap R \setminus M| + |E \cap M \cap R|) E(MR)=32(10+6+6) |E \setminus (M \cup R)| = 32 - (10 + 6 + 6) E(MR)=3222=10 |E \setminus (M \cup R)| = 32 - 22 = 10
Solution: The cardinality of the Brown region is 10.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord