Question

In: Statistics and Probability

Analysis of a certain text in English gave the following table of frequencies for the letters....

  1. Analysis of a certain text in English gave the following table of frequencies for the letters. Spacebar and all punctuation marks are ignored.
  1. Find expected number of letters A in a random excerpt of this text with 1000 letters.
  2. Find the most frequent letter and its expected number of occurrences in the same excerpt.
  3. Find the most rare letter and its expected number of occurrences in the same excerpt.

Letter

Count

A

14810

B

2715

C

4943

D

7874

E

21912

F

4200

G

3693

H

10795

I

13318

J

188

K

1257

L

7253

M

4761

N

12666

O

14003

P

3316

Q

205

R

10977

S

11450

T

16587

U

5246

V

2019

W

3819

X

315

Y

3853

Z

128

Solutions

Expert Solution

a. Expected number of occurrence of letter A in random excerpt of 1000 letters is 81.

b. Most frequent letter is E. Expected number of occurrence of letter E in random excerpt of 1000 letters is 120.

c. Most rare letter is Z. Expected number of occurrence of letter Z in random excerpt of 1000 letters is 1.

Complete solution is given in attached images:

Thank You...!

orchestra answered 1 year ago
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