Define the frequency f of a numeral (or letter) x in a string S, denoted fs(x), to be the mber of instances of that numeral (or letter) in the string. (E.g. faardvark(@) = 3). Let S be the string of numeric digits in your J-number. Write S here:_ For i = 0.8, define A = {x € 0.9| f5(x) = i }. State your sets A, through Ag below. (Note: a number of them may be empty.) A = A5 : A = Ag = Az A, = A3 Ag :=- A4 = Let P := {Ap, Aq,….., Ag} \ {{}. State your value of P here: P =. a) Find ~p. b) Is P e {{0,1,2,3, 4}, {5, 6, 7,8, 9}}? Why or why not? !! !! !!

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 6E: Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the...
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Define the frequency f of a numeral (or letter) x in a string S, denoted fs(x), to be the
mber of instances of that numeral (or letter) in the string. (E.g. faardvark(@) = 3).
Let S be the string of numeric digits in your J-number. Write S here:_
For i = 0.8, define A := {x € 0.9| fs(x) = i }.
State your sets A, through Ag below. (Note: a number of them may be empty.)
A, =-
A5 :=-
A, =
A6 :
A =
A, :
Az =.
Ag =.
A4
{Ao, Aq..,Ag} \ {{}. State your value of P here: P :=
Let P :=
a) Find ~p.
b) Is P c {{0,1,2,3, 4}, {5, 6, 7,8, 9}}? Why or why not?
!!
Transcribed Image Text:Define the frequency f of a numeral (or letter) x in a string S, denoted fs(x), to be the mber of instances of that numeral (or letter) in the string. (E.g. faardvark(@) = 3). Let S be the string of numeric digits in your J-number. Write S here:_ For i = 0.8, define A := {x € 0.9| fs(x) = i }. State your sets A, through Ag below. (Note: a number of them may be empty.) A, =- A5 :=- A, = A6 : A = A, : Az =. Ag =. A4 {Ao, Aq..,Ag} \ {{}. State your value of P here: P := Let P := a) Find ~p. b) Is P c {{0,1,2,3, 4}, {5, 6, 7,8, 9}}? Why or why not? !!
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