The following table identifies a group of children by one of four hair colors, and by type of hair. Hair Type Brown Blond Wavy 20 Black 15 Red Totals 5 44 Straight Totals 79 13 10 17 213 - Part (a) Complete the table. Hair Type Brown Blond Black Red Totals Wavy 20 15 5 44 Straight 79 13 10 Totals 17 213 - Part (b) What is the probability that a randomly selected child will have wavy hair? (Enter your answer as a fraction.) > Part (c) What is the probability that a randomly selected child will have either brown or blond hair? (Enter your answer as a fraction.) - Part (d) What is the probability that a randomly selected child will have wavy brown hair? (Enter your answer as a fraction.) > Part (e) What is the probability that a randomly selected child will have red hair, given that he has straight hair? (Enter your answer as a fraction.) - Part (f) If B is the event of a child having brown hair, find the probability of the complement of B. (Enter your answer as a fraction.) - Part (g) If B is the event of a child having brown hair, what does the complement of B represent? ○ The complement of B would be the event of a child having blond hair. The complement of B would be the event of a child having blond or black hair. The complement of B would be the event of a child not having brown hair. O The complement of B would be the event of a child having wavy or straight hair.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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The following table identifies a group of children by one of four hair colors, and by type of hair.
Hair Type
Brown
Blond
Wavy
20
Black
15
Red
Totals
5
44
Straight
Totals
79
13
10
17
213
- Part (a)
Complete the table.
Hair Type
Brown
Blond
Black
Red
Totals
Wavy
20
15
5
44
Straight
79
13
10
Totals
17
213
- Part (b)
What is the probability that a randomly selected child will have wavy hair? (Enter your answer as a fraction.)
> Part (c)
What is the probability that a randomly selected child will have either brown or blond hair? (Enter your answer as a fraction.)
- Part (d)
What is the probability that a randomly selected child will have wavy brown hair? (Enter your answer as a fraction.)
> Part (e)
What is the probability that a randomly selected child will have red hair, given that he has straight hair? (Enter your answer as a fraction.)
- Part (f)
If B is the event of a child having brown hair, find the probability of the complement of B. (Enter your answer as a fraction.)
- Part (g)
If B is the event of a child having brown hair, what does the complement of B represent?
○ The complement of B would be the event of a child having blond hair.
The complement of B would be the event of a child having blond or black hair.
The complement of B would be the event of a child not having brown hair.
O The complement of B would be the event of a child having wavy or straight hair.
Transcribed Image Text:The following table identifies a group of children by one of four hair colors, and by type of hair. Hair Type Brown Blond Wavy 20 Black 15 Red Totals 5 44 Straight Totals 79 13 10 17 213 - Part (a) Complete the table. Hair Type Brown Blond Black Red Totals Wavy 20 15 5 44 Straight 79 13 10 Totals 17 213 - Part (b) What is the probability that a randomly selected child will have wavy hair? (Enter your answer as a fraction.) > Part (c) What is the probability that a randomly selected child will have either brown or blond hair? (Enter your answer as a fraction.) - Part (d) What is the probability that a randomly selected child will have wavy brown hair? (Enter your answer as a fraction.) > Part (e) What is the probability that a randomly selected child will have red hair, given that he has straight hair? (Enter your answer as a fraction.) - Part (f) If B is the event of a child having brown hair, find the probability of the complement of B. (Enter your answer as a fraction.) - Part (g) If B is the event of a child having brown hair, what does the complement of B represent? ○ The complement of B would be the event of a child having blond hair. The complement of B would be the event of a child having blond or black hair. The complement of B would be the event of a child not having brown hair. O The complement of B would be the event of a child having wavy or straight hair.
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