100 students are asked what pets they like from a choice of cats, dogs and hamsters. The results are as follows. 60 like cats 64 like dogs 61 like hamsters 34 like cats and dogs 46 like dogs and hamsters 43 like cats and hamsters 32 like cats, dogs and hamsters (a) Represent this information on a Venn diagram. (b) Find the number of students who (i) like dogs only; (ii) like both dogs and cats but not hamsters; (iii) do not like pets. A student is randomly chosen from this group of 100 students. (c) Calculate the probability that this student likes only two kinds of pets. (d) Calculate the probability that this student likes only dogs, given that this student onl likes one kind of pet.
100 students are asked what pets they like from a choice of cats, dogs and hamsters. The results are as follows. 60 like cats 64 like dogs 61 like hamsters 34 like cats and dogs 46 like dogs and hamsters 43 like cats and hamsters 32 like cats, dogs and hamsters (a) Represent this information on a Venn diagram. (b) Find the number of students who (i) like dogs only; (ii) like both dogs and cats but not hamsters; (iii) do not like pets. A student is randomly chosen from this group of 100 students. (c) Calculate the probability that this student likes only two kinds of pets. (d) Calculate the probability that this student likes only dogs, given that this student onl likes one kind of pet.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:100 students are asked what pets they like from a choice of cats, dogs and hamsters. The
results are as follows.
60 like cats
64 like dogs
61 like hamsters
34 like cats and dogs
46 like dogs and hamsters
43 like cats and hamsters
32 like cats, dogs and hamsters
(a) Represent this information on a Venn diagram.
(b) Find the number of students who
(i)
like dogs only;
(ii) like both dogs and cats but not hamsters;
(iii) do not like pets.
A student is randomly chosen from this group of 100 students.
(c) Calculate the probability that this student likes only two kinds of pets.
(d) Calculate the probability that this student likes only dogs, given that this student only
likes one kind of pet.
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