Assignment:
Q1. Use Venn diagrams to illustrate the following sets:
(a) A′ ∩ B (b) (A′ ∩ B′) U C
(c) A ∩ (A U B) (d) A U (A ∩ B)
(e) (A U B) ∩ (A U C)
Q2. Use Venn diagrams to illustrate the following laws:
(a) A ∩ (B U C) = (A ∩ B) U (A ∩ C) (Distributive law)
(b) (A U B) U C = A U (B U C) (Associative law)
Q3. A survey of 10355 people restricted to those who were either female or Hispanic or over 16 years of age, produced the following data:
Female: 6022 Hispanic female: 2136
Hispanic: 3564 Over 16 and female: 959
Over 16: 4722 Over 16 and Hispanic: 1341
Hispanic female over 16: 239
Is the data consistent? If not, why?
Q4. The following Venn diagram illustrates the number of seniors (S), male students (M), and students on the dean’s list (D) at a small private college. Describe each number.
Provide complete and step by step solution for the question and show calculations and use formulas.