9. What is the probability that a randomly selected elephant will weight at least 8.56 tons? 856 10. What is the probability that a randomly selected elephant will have a weight that is at most 6.42 tons? 642 11. What is the probability that a randomly selected elephant will weigh between 3.21 and 9.63 tons? 321
9. What is the probability that a randomly selected elephant will weight at least 8.56 tons? 856 10. What is the probability that a randomly selected elephant will have a weight that is at most 6.42 tons? 642 11. What is the probability that a randomly selected elephant will weigh between 3.21 and 9.63 tons? 321
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...
Related questions
Question
100%
I need help with 9-11 please

Transcribed Image Text:**The Empirical Rule**
The average weight of an elephant is 6.42 tons with a standard deviation of 1.07 tons. Use the Empirical Rule to answer the following questions.
1. **What weight is 3 standard deviations below the mean?**
- Answer: 3.21
2. **What weight is 2 standard deviations below the mean?**
- Answer: 4.28
3. **What weight is 1 standard deviation below the mean?**
- Answer: 5.35
4. **What weight is the mean?**
- Answer: 6.42
5. **What weight is 1 standard deviation above the mean?**
- Answer: 7.49
6. **What weight is 2 standard deviations above the mean?**
- Answer: 8.56
7. **What weight is 3 standard deviations above the mean?**
- Answer: 9.63
8. **Between what two values do 68% of elephants weigh?**
- Answer: Between 5.35 and 7.49
9. **What is the probability that a randomly selected elephant will weigh at least 8.56 tons?**
- Answer: Incorrect calculation (the correct probability should be around 16%).
10. **What is the probability that a randomly selected elephant will have a weight that is at most 6.42 tons?**
- Answer: Incorrect calculation (the correct probability should be 50%).
11. **What is the probability that a randomly selected elephant will weigh between 3.21 and 9.63 tons?**
- Answer: Incorrect calculation (the correct probability should be 99.7%).
12. **Would a weight of 3 tons be an unusual weight for an elephant?**
- Answer: Yes, 3 tons is beyond 3 standard deviations of the mean.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON


A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
