The lengths of your statistics class has a continuous uniform distribution between 46 minutes and 59 minutes. Let X be the length of a class in minutes. If one section is randomly selected, answer the following questions a. What is the distribution of X? X ~ [ U v ( 46 59 Please show the following answers to 4 decimal places. b. What is the probability that the class is exactly 51 minutes long? c. What is the probability that the class is less than 51 minutes long?

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Just b and c

**Uniform Distribution of Statistics Class Lengths**

The class lengths for your statistics course follow a continuous uniform distribution ranging from 46 to 59 minutes. Let \( X \) represent the length of a class in minutes. If a section is randomly selected, answer the following questions:

a. **What is the distribution of \( X \)?**  
\( X \sim U(46, 59) \)

b. **What is the probability that the class is exactly 51 minutes long?**  
- (Answer not provided)

c. **What is the probability that the class is less than 51 minutes long?**  
- (Answer not provided)

d. **What is the probability that the class is between 47 minutes and 57 minutes long?**  
- Probability: 0.7692

e. **What is the probability that the class is less than 47 minutes or more than 57 minutes long?**  
- Probability: 0.2308

Please provide the answers to questions b and c to four decimal places.
Transcribed Image Text:**Uniform Distribution of Statistics Class Lengths** The class lengths for your statistics course follow a continuous uniform distribution ranging from 46 to 59 minutes. Let \( X \) represent the length of a class in minutes. If a section is randomly selected, answer the following questions: a. **What is the distribution of \( X \)?** \( X \sim U(46, 59) \) b. **What is the probability that the class is exactly 51 minutes long?** - (Answer not provided) c. **What is the probability that the class is less than 51 minutes long?** - (Answer not provided) d. **What is the probability that the class is between 47 minutes and 57 minutes long?** - Probability: 0.7692 e. **What is the probability that the class is less than 47 minutes or more than 57 minutes long?** - Probability: 0.2308 Please provide the answers to questions b and c to four decimal places.
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