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?
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?
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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