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: 0.7692e. **What is the probability that the class is less than 47 minutes or more than 57 minutes long?** - Probability: 0.2308Please provide the answers to questions b and c to four decimal places.

b) Given that the class is exactly 51 minutes long. So, x=51, it is a particular point between 46 and 59. So the required probability is = P(x=51)=159-46=113=0.0769c) Given that the class is less than 51 minutes. So the required probability is: P(x<51)=(51-46)×1(59-46)=5×113=0.3846 Answer(b): 0.0769 Answer(c): 0.3846

Math

Probability

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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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.

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