4. Here is the transition table of a DFA:AED*BACCGBDEA*EHCFCBGFEHBHFind the minimum-state DFA equivalent to the above. Then, identify in thelist below the pair of equivalent states (states that get merged in theminimization process).a) E andGb) C andᎠc) A andd) F andG

Option a: This option is correct because E and G are equivalent and will be merged in the minimized…

Answered: 4. Here is the transition table of a…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 4SE: Answer the following questions. 4. Describe how the permutation of ii objects differs from the...

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Answer the following questions. 4. Describe how the permutation of ii objects differs from the permutation of choosing r objects from a set of n objects. Include how each is calculated.
Fill in the table for the transition function for the FSA with the alphabet E = {0,1} that recognizes the language of the language that has a number of 1's that divisible by 4. Please use the names of the states listed on the left as your answers in the table. The start state is zero. state 1 zero one two three The accept states are O A. zero OB. tw O C. one D. three O O O O
A recent study from Pew Research Center indicates 77% of adults in the United States use a smartphone (SP) to access the internet, while 65% access the internet at home with a broadband (BB) service and 52% access with both a smartphone and broadband. based on this information: a. draw the venn diagram b. calculate; P(SP), P(BB), P(SP and BB), P( not SP and not BB)
Exercise 10.3.1: Counting passwords without repeating characters. i i About Consider the following definitions for sets of characters: • Digits = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} Letters = {a, b, c, d, e, f, g, h, i, j, k, I, m, n, o, p, q, r, s, t, u, v, w, x, y, z } Special characters = {*, &, $, # } Compute the number of passwords that satisfy the given constraints. (a) Strings of length 6. Characters can be special characters, digits, or letters, with no repeated characters. (b) Strings of length 6. Characters can be special characters, digits, or letters, with no repeated characters. The first character can not be a special character.
The Human Resources office in a company observes the pattern of absences of employees by days of the week. The company is closed on weekends.The company has 100 employees and over 10 weeks (5000 employee appearances) they notice that there were 100 absences, of which 40 were on the days closest to a weekend (Mondays and Fridays.)Let A = an employee is absent on a day which is a Monday or FridayLet B = an employee is absent on a day which is a Tuesday, Wednesday or Thursday.Let C = a day is a Monday or FridayWhat is the event A U B? What is P(A U B) ? Why is A ∩ B = ∅ ? What is P(A) ? What is P(C) ? What is P(A | C)? Are A and C independent?.
3. A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation. Which island is most preferred by the customers? 2. 02 p(x, y) 1. 0. 10 .04 08 20 906 .06 14 30
Exercise 10.3.3: Counting license plate numbers. O About License plate numbers in a certain state consists of seven characters. The first character is a digit (0 through 9). The next four characters are capital letters (A through Z) and the last two characters are digits. Therefore, a license plate number in this state can be any string of the form: Digit-Letter-Letter-Letter-Letter-Digit-Digit (a) How many different license plate numbers are possible? (b) How many license plate numbers are possible if no digit appears more than once? (c) How many license plate numbers are possible if no digit or letter appears more than once?
two Give example of clsed subset of IR whse an dimensiunal Lebesque outer meosure íis o
Use Venn Diagrams to show An (BAC) = (An B) A (AnC).
3A, B E {sets} such that A CBAA= B.
6.1 Worksheet Exercise 6.1.1: Counting passwords made up of letters, digits, and special characters. Consider the following definitions for sets of characters: Digits = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9} Letters = { a, b, c, d, e, f, g, h, i, j, k, I, m, n, o, p, q, r, s, t, u, v, w, x, y, z} Special characters { *, &, $, # } Compute the number of passwords that satisfy the given constraints. %3D %3D %3D (a) Strings of length 6. Characters can be special characters, digits, or letters. (b) Strings of length 7, 8, or 9. Characters can be special characters, digits, or letters. (c) Strings of length 7, 8, or 9. Characters can be special characters, digits, or letters. The first character cannot be a letter. Exercise 6.1.2: Selecting lunch specials for the week. (a) A Chinese restaurant offers 10 different lunch specials. Each weekday for one week, Fiona goes to the restaurant and selects a lunch special. How many different ways are there for her to select her lunches for the week? Note that…
Suppose there were 500 nurses graduating this year. Assume that 400 were registered nurses (RN), and 309 of those RNs plan to work in hospitals. Only 32 of the nurses who plan to work in other medical care facilities are NOT registered nurses. Venn Diagramms

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4. Here is the transition table of a DFA: AED *BAC CGB DEA *EHC FCB GFE HBH Find the minimum-state DFA equivalent to the above. Then, identify in the list below the pair of equivalent states (states that get merged in the minimization process). a) E and G b) C and Ꭰ c) A and d) F and G

4. Here is the transition table of a DFA: AED BAC CGB DEA EHC FCB GFE HBH Find the minimum-state DFA equivalent to the above. Then, identify in the list below the pair of equivalent states (states that get merged in the minimization process). a) E and G b) C and Ꭰ c) A and d) F and G