Complete the table. Part (b) Part (c) Hair Type Wavy Straight Totals Brown 18 79 Part (d) 97 Blond 7 13 20 Black 13 63 76 Red 5 12 17 Totals 43 167 What is the probability that a randomly selected child will have wavy hair? (Enter your answer as a fraction.) 210 What is the probability that a randomly selected child will have either brown or blond hair? (Enter your answer as a fraction.) 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.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question

Fill in the blanks to each question from b to g.

**Table: Hair Type Distribution**

| Hair Type | Brown | Blond | Black | Red | Totals |
|-----------|-------|-------|-------|-----|--------|
| Wavy      | 18    | 7     | 13    | 5   | 43     |
| Straight  | 79    | 13    | 63    | 12  | 167    |
| Totals    | 97    | 20    | 76    | 17  | 210    |

**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.)
Transcribed Image Text:**Table: Hair Type Distribution** | Hair Type | Brown | Blond | Black | Red | Totals | |-----------|-------|-------|-------|-----|--------| | Wavy | 18 | 7 | 13 | 5 | 43 | | Straight | 79 | 13 | 63 | 12 | 167 | | Totals | 97 | 20 | 76 | 17 | 210 | **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.)
**Probability and Complement Events: Hair Color and Texture**

**Part (d)**  
*Question:*  
What is the probability that a randomly selected child will have wavy brown hair? (Enter your answer as a fraction.)  
*Answer:*  
[Space for the user to enter their answer]

**Part (e)**  
*Question:*  
What is the probability that a randomly selected child will have red hair, given that they have straight hair? (Enter your answer as a fraction.)  
*Answer:*  
[Space for the user to enter their answer]

**Part (f)**  
*Question:*  
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.)  
*Answer:*  
[Space for the user to enter their answer]

**Part (g)**  
*Question:*  
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 wavy or straight hair.
- The complement of \( B \) would be the event of a child not having brown hair.
- The complement of \( B \) would be the event of a child having blond or black hair.
Transcribed Image Text:**Probability and Complement Events: Hair Color and Texture** **Part (d)** *Question:* What is the probability that a randomly selected child will have wavy brown hair? (Enter your answer as a fraction.) *Answer:* [Space for the user to enter their answer] **Part (e)** *Question:* What is the probability that a randomly selected child will have red hair, given that they have straight hair? (Enter your answer as a fraction.) *Answer:* [Space for the user to enter their answer] **Part (f)** *Question:* 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.) *Answer:* [Space for the user to enter their answer] **Part (g)** *Question:* 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 wavy or straight hair. - The complement of \( B \) would be the event of a child not having brown hair. - The complement of \( B \) would be the event of a child having blond or black hair.
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