A forester measured 26 of the trees in a large woods that is up for sale. He found a mean diameter of 10.1 inches and a standard deviation of 4.8 inches. Suppose that these trees provide an accurate description of the whole forest and that a Normal model applies a) Choose the correct Normal model for tree diameters. OA. OB. Oc.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Please Answer Questions A through E
![e) About what percent of the trees should have diameters over 24.5 inches?
Using the 68-95-99.7 rule, about [ ]% of the trees should have diameters over 24.5 inches. (Do not round. Type an integer or a decimal.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22eb5122-f151-4caa-a9e5-ed0aea01f8ea%2F5485ba26-8891-439a-9e99-64c568f0dec2%2Fzumc0e_processed.jpeg&w=3840&q=75)
![A forester measured 26 of the trees in a large woods that is up for sale. He found a mean diameter of 10.1 inches and a standard deviation of 4.8 inches. Suppose that these trees provide an accurate description of the whole forest and that a Normal model applies.
**a) Choose the correct Normal model for tree diameters.**
Options:
- **A**: The Normal curve with mean (\(\mu\)) = 8 and standard deviation. The distribution overlays a number line marked at -1σ (3.2), μ (8), 1σ (12.8), 2σ (17.6).
- **B**: The Normal curve with mean (\(\mu\)) = 10.1 and standard deviation (\(\sigma\)) = 4.8. The distribution overlays a number line marked at -1σ (5.3), μ (10.1), 1σ (14.9), 2σ (19.7).
- **C**: The Normal curve with mean (\(\mu\)) = 5 and standard deviation. The distribution overlays a number line marked at -1σ (0.2), μ (5), 1σ (9.8), 2σ (14.6).
**b) What size would you expect the central 68% of all tree diameters to be?**
Using the 68-95-99.7 rule, the central 68% of the tree diameters are between [ ] inches and [ ] inches.
(Do not round. Type integers or decimals.)
**c) About what percent of the trees should have diameters below 5.3 inches?**
Using the 68-95-99.7 rule, about [ ]% of the trees should have diameters below 5.3 inches.
(Do not round. Type an integer or a decimal.)
**d) About what percent of the trees should have diameters between 14.9 and 19.7 inches?**
Using the 68-95-99.7 rule, about [ ]% of the trees should have diameters between 14.9 and 19.7 inches.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22eb5122-f151-4caa-a9e5-ed0aea01f8ea%2F5485ba26-8891-439a-9e99-64c568f0dec2%2Fady57lu_processed.jpeg&w=3840&q=75)
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