In 1935, harvard linguist george zipf i wanted out that the frequency of the kth most frequent word in a language is roughly proportional to 1/k. this implies that the second most frequent word in a language has a frequency of one half that of the most frequent word, the third most frequent word has a frequency of one third that of the most frequent word, and so on. a distribution that follows this rule is said to obay zipf's law.

zipf's lawhas been observed not only in word distributions, but in other phenomenona as well, such as populations in a city.

the frequency of the third most frequent word in the brown corpus is that of the most frequent word.

a. 41%

b. 34%

c. 33%

d. 50%

C. 33%

Step-by-step explanation:

The frequency of the Kth most frequent word in a language is roughly proportional to 1/K of the most frequent word.

So the 2nd most frequent word is roughly proportional to 1/2 of the most frequent word

The 3rd most frequent word is roughly proportional to 1/3 = 0.333 = 0.33 of the most frequent word.

0.333 is rounded to 0.33 = 33%.

If it had been 0.335 or higher, it would be round to 0.34 = 34%.

So the correct answer is:

C. 33%

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is