5. (Contingency Table) The following table identifies a group of children by one of four hair colors, and by the type of hair. Hair Color Brown Blond Black Red Totals Hair Type Wavy 20 35 15 3 43 Straight 80 15 65 12 172 Totals 100 20 80 15 215 (a) Complete the table. (b) What is the probability that a randomly selected child will have wavy hair? 0.2000 (c) What is the probability that a randomly selected child will have either brown or blond hair? 0.5581 (d) What is the probability that a randomly selected child will have wavy brown (i.e. wavy and brown) hair? 0.0930 (e) What is the probability that a randomly selected child will have red hair, given that he or she has straight hair? 0.0698 (f) If B is the event of a child having brown hair, find the probability of the complement of B, i.e. P(B'). (e) In words, what does the complement of B represent?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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PART 5 (f and g)

5. (Contingency Table) The following table identifies a group of children by one of four hair colors, and by the type of hair.
Hair Color
Brown
Blond
Black
Red
Totals
Hair Type
Wavy
20
35
15
3
43
Straight
80
15
65
12
172
Totals
100
20
80
15
215
(a) Complete the table.
(b) What is the probability that a randomly selected child will have wavy hair?
0.2000
(c) What is the probability that a randomly selected child will have either brown or blond hair?
0.5581
(d) What is the probability that a randomly selected child will have wavy brown (i.e. wavy and brown) hair?
0.0930
(e) What is the probability that a randomly selected child will have red hair, given that he or she has straight hair?
0.0698
(f) If B is the event of a child having brown hair, find the probability of the complement of B, i.e. P(B').
(e) In words, what does the complement of B represent?
Transcribed Image Text:5. (Contingency Table) The following table identifies a group of children by one of four hair colors, and by the type of hair. Hair Color Brown Blond Black Red Totals Hair Type Wavy 20 35 15 3 43 Straight 80 15 65 12 172 Totals 100 20 80 15 215 (a) Complete the table. (b) What is the probability that a randomly selected child will have wavy hair? 0.2000 (c) What is the probability that a randomly selected child will have either brown or blond hair? 0.5581 (d) What is the probability that a randomly selected child will have wavy brown (i.e. wavy and brown) hair? 0.0930 (e) What is the probability that a randomly selected child will have red hair, given that he or she has straight hair? 0.0698 (f) If B is the event of a child having brown hair, find the probability of the complement of B, i.e. P(B'). (e) In words, what does the complement of B represent?
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