PROBABILITY AND SET ASSIGNMENT

Consider the counting numbers {1,2,3,4,5,6,7,8,9}. Let A={1,3,5,7,9}, B={2,4,6,8}, C={3,5}, D={2,4,6,8}

a) Find A union B. {A∪B}

b) Find A intersect B. {A∩B}

c) Find A complement. {A’}

d) Find {B∩C}

3)  A poll was passed out to 100 students. The poll contained 3 questions.

i) Do you own an ipad?

ii) Do you own a laptop?

ii) Do you own an ipad and a laptop?

The results of the poll are in the table. Answer the questions below using a Venn Diagram.

 a) How many students own an ipad but do not own a laptop?

b) How many students own a laptop but do not own an ipad?

c) How many own an ipad or a laptop?

d)) How many own neither an ipad nor a laptop?

e) How many do not own an ipad?

4)  A survey of students at a film school revealed the following information.

51 like animated films

49 like comedy films

60 like dramatic films

34 like animated and comedy

32 like comedy and dramatic

36 like animated and dramatic

24 like all three types

1 does not like any of the three types.

Answer the questions on the using a 3-Set Venn Diagram

a) How many like only one of the three types of film?

b) How many like animated and comedy but not dramatic?

c) How many like animated and dramatic but not comedy?

d) How many like either animated, dramatic or comedy?

e) How many like either dramatic or comedy?

f) How many like dramatic and comedy?

g) How many students were surveyed?

h) How many do not like animated

5) A marketing survey of 1,000 commuters found that 600 answered listen to the news, 500 listen to music, and 300 listen to both.  Let N = set of commuters in the sample who listen to news and M = set of commuters in the sample who listen to music. Fill out a two-set Venn diagram and give the number in each of the sets below.

a) N∩M

b) N’∩M

c) N∩M’

d) N’∩M’

e) N∪M