b.) Plot the data along with the exponential model. 60t 40+ 30+ - App slore 23 6 7 8 c.) What probability does the model give of gaining a first down for fourth down and 10 yards to go? Note: The actual probability is 28%. As given D=10 P=74.955*(0.893)^10 = 24.17% The model gives 24.17% of gaining a first down for fourth down and 10 yards to go.
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 all parts.
![b.) Plot the data along with the exponential model.
60t
40+
30+
- App slore
23
6 7 8
c.) What probability does the model give of gaining a first down for fourth down and 10 yards to go? Note:
The actual probability is 28%.
As given D=10
P=74.955*(0.893)A10 = 24.17%
The model gives 24.17% of gaining a first down for fourth down and 10 yards to go.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e609613-0e56-44ff-94f4-9c892075812d%2Fdc1d106a-b1e7-4cd6-b83d-b3d566361566%2F584aiph_processed.png&w=3840&q=75)
![Problem 6 §4.4: First Down! The following table shows the probability P, as a percentage, of a
college football team converting on fourth down (when not goal to go) versus the distance D, in yards, to
the first-down marker.
D = distance, P = probability (%)
in yards
1
70
2
60
53
4
46
5
41
6
37
7
34
32
a. Use an exponential regression to model the data.
The exponential model is P(D) = 74.955 * (0.893)^D.
3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e609613-0e56-44ff-94f4-9c892075812d%2Fdc1d106a-b1e7-4cd6-b83d-b3d566361566%2F65idkdj_processed.png&w=3840&q=75)
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