DISCRETE MATH CONNECT ACCESS
8th Edition
ISBN: 9781265370749
Author: ROSEN
Publisher: MCG
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Chapter 13, Problem 4CP
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To find out the derived tree for the string language generates using context-free grammar.
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A marketing professor has surveyed the students at her university to better understand attitudes towards PPT usage for higher education. To be able to make inferences to the entire student body, the sample drawn needs to represent the university’s student population on all key characteristics. The table below shows the five key student demographic variables. The professor found the breakdown of the overall student body in the university’s fact book posted online.
A non-parametric chi-square test was used to test the sample demographics against the population percentages shown in the table above. Review the output for the five chi-square tests on the following pages and answer the five questions:
Based on the chi-square test, which sample variables adequately represent the university’s student population and which ones do not? Support your answer by providing the p-value of the chi-square test and explaining what it means.
Using the results from Question 1, make recommendation for…
Question 9
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Chapter 13 Solutions
DISCRETE MATH CONNECT ACCESS
Ch. 13.1 - Exercises 1-3 refer to the grammar with start...Ch. 13.1 - Exercises 1-3 refer to the grammar with start...Ch. 13.1 - Prob. 3ECh. 13.1 - Let G=(V,T,S,P) be the phrase-structure grammar...Ch. 13.1 - Prob. 5ECh. 13.1 - Prob. 6ECh. 13.1 - Prob. 7ECh. 13.1 - Show that the grammar given in Example 5 generates...Ch. 13.1 - Prob. 9ECh. 13.1 - Prob. 10E
Ch. 13.1 - Construct a derivation of 021222 in the grammar...Ch. 13.1 - Show that the grammar given in Example 7 generates...Ch. 13.1 - s13. Find a phrase-structure grammar for each of...Ch. 13.1 - Find a phrase-structure grammar for each of these...Ch. 13.1 - Find a phrase-structure grammar for each of these...Ch. 13.1 - Construct phrase-structure grammars to generate...Ch. 13.1 - Construct phrase-structure grammars to generate...Ch. 13.1 - Construct phrase-structure grammars to generate...Ch. 13.1 - Prob. 19ECh. 13.1 - A palindrome is a string that reads the same...Ch. 13.1 - Let G1 and G2 be context-free grammars, generating...Ch. 13.1 - Prob. 22ECh. 13.1 - Construct derivation trees for the sentences in...Ch. 13.1 - Let G be the grammar with V={a,b,c,S};T={a,b,c} ;...Ch. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - a) Explain what the productions are in a grammar...Ch. 13.1 - Prob. 29ECh. 13.1 - a) Construct a phrasestructure grammar for the set...Ch. 13.1 - Give production rules in Backus-Naur form for an...Ch. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - Prob. 37ECh. 13.1 - Prob. 38ECh. 13.1 - Prob. 39ECh. 13.1 - Prob. 40ECh. 13.1 - Prob. 41ECh. 13.1 - Let G be a grammar and let R be the relation...Ch. 13.2 - Draw the state diagrams for the finite-state...Ch. 13.2 - Give the state tables for the finite-state machine...Ch. 13.2 - Find the output generated from the input string...Ch. 13.2 - Find the output generated from the input string...Ch. 13.2 - Find the output for each of these input strings...Ch. 13.2 - Find the output for each of these input strings...Ch. 13.2 - Construct a finite-state machine that models an...Ch. 13.2 - Prob. 8ECh. 13.2 - Construct a finite-state machine that delays an...Ch. 13.2 - Construct a finite-state machine that changes...Ch. 13.2 - Construct a finite-state machine for the log-on...Ch. 13.2 - Construct a finite-state machine for lock that...Ch. 13.2 - Construct a finite-state machine for a toll...Ch. 13.2 - Construct a finite-state machine for entering a...Ch. 13.2 - Construct a finite-state machine for a restricted...Ch. 13.2 - Construct a finite-state machine that gives an...Ch. 13.2 - Prob. 17ECh. 13.2 - Construct a finite-state machine that determines...Ch. 13.2 - Construct a finite-state machine that determines...Ch. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.2 - Find the output string generated by the Moore...Ch. 13.2 - Prob. 23ECh. 13.2 - Construct a Moore machine that gives an output of...Ch. 13.2 - Prob. 25ECh. 13.3 - Prob. 1ECh. 13.3 - 2. Show that if A is a set of strings, then.
Ch. 13.3 - Find all pairs of sets of strings A and B for...Ch. 13.3 - Show that these equalities hold. a) {}*={} b)...Ch. 13.3 - Prob. 5ECh. 13.3 - Prob. 6ECh. 13.3 - Prob. 7ECh. 13.3 - Prob. 8ECh. 13.3 - Prob. 9ECh. 13.3 - Determine whether the string 01001 is in each of...Ch. 13.3 - Determine whether each of these strings is...Ch. 13.3 - Determine whether each of these strings is...Ch. 13.3 - Determine whether all the strings in each of these...Ch. 13.3 - Show that if M=(S,I,f,so,F) is a deterministic...Ch. 13.3 - Given a finite-state automaton M=(S,I,f,so,F) ,...Ch. 13.3 - In Exercises 16—22 find the language recognized by...Ch. 13.3 - In Exercises 16—22 find the language recognized by...Ch. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - In Exercises 16—22 find the language recognized by...Ch. 13.3 - In Exercises 16—22 find the language recognized by...Ch. 13.3 - Prob. 22ECh. 13.3 - Construct a deterministic finite-state automaton...Ch. 13.3 - Construct a deterministic finite-state automaton...Ch. 13.3 - Construct a deterministic finite-state automaton...Ch. 13.3 - Construct a deterministic finite-state automaton...Ch. 13.3 - Prob. 27ECh. 13.3 - Construct a deterministic finite-state automaton...Ch. 13.3 - Prob. 29ECh. 13.3 - Construct a deterministic finite-state automaton...Ch. 13.3 - Construct a deterministic finite-state automaton...Ch. 13.3 - Construct a deterministic finite-state automaton...Ch. 13.3 - Prob. 33ECh. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - Prob. 37ECh. 13.3 - Prob. 38ECh. 13.3 - Prob. 39ECh. 13.3 - Use Exercise 39 finite-state automata constructed...Ch. 13.3 - Prob. 41ECh. 13.3 - Prob. 42ECh. 13.3 - Prob. 43ECh. 13.3 - Prob. 44ECh. 13.3 - Prob. 45ECh. 13.3 - In Exercises 43-49 find the language recognized by...Ch. 13.3 - Prob. 47ECh. 13.3 - In Exercises 43-49 find the language recognized by...Ch. 13.3 - Prob. 49ECh. 13.3 - Find a deterministic finite-state automaton that...Ch. 13.3 - Prob. 51ECh. 13.3 - Find a deterministic finite-state automaton that...Ch. 13.3 - Find a deterministic finite-state automaton that...Ch. 13.3 - Find a deterministic finite-state automaton that...Ch. 13.3 - Find a deterministic finite-state automaton that...Ch. 13.3 - Find a nondeterministic finite-state automaton...Ch. 13.3 - Prob. 57ECh. 13.3 - Prob. 58ECh. 13.3 - Prob. 59ECh. 13.3 - Prob. 60ECh. 13.3 - Prob. 61ECh. 13.3 - Prob. 62ECh. 13.4 - Describe in words the strings in each of these...Ch. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - Prob. 4ECh. 13.4 - Express each of these sets using a regular...Ch. 13.4 - Express each of these sets using a regular...Ch. 13.4 - Express each of these sets using a regular...Ch. 13.4 - Construct deterministic finite-state automata that...Ch. 13.4 - Construct nondeterministic finite-state automata...Ch. 13.4 - Construct nondeterministic finite-state automata...Ch. 13.4 - Show that if A is a regular set, then AR, the set...Ch. 13.4 - Using the construction described in the proof of...Ch. 13.4 - Using the construction described in the proof of...Ch. 13.4 - Construct a nondeterministic finite-state...Ch. 13.4 - In Exercises 15-17 conflict a regular grammar...Ch. 13.4 - In Exercises 15-17 conflict a regular grammar...Ch. 13.4 - In Exercises 15-17 conflict a regular grammar...Ch. 13.4 - Show that the finite-state automaton constructed...Ch. 13.4 - Show that the regular grammar constructed from a...Ch. 13.4 - Show that every nondeterministic finite-state...Ch. 13.4 - Let M=(S,I,f,s0,F) be a deterministic finite-state...Ch. 13.4 - One important technique used to prove that certain...Ch. 13.4 - Show that the set 02n1nn=0,1,2,... is not regular...Ch. 13.4 - Show that the set {1n2n=0,1,2,...} is not regular...Ch. 13.4 - Show that the set of palindromes over {0, 1} is...Ch. 13.4 - Prob. 26ECh. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - Prob. 30ECh. 13.4 - Use Exercise 29 to show that the language...Ch. 13.5 - Let T be the Turing machine defined by the...Ch. 13.5 - Let T be the Turing machine defined by the...Ch. 13.5 - What does the Turing machine defined by the...Ch. 13.5 - What does the Turing machine described by the...Ch. 13.5 - What does the Turing machine described by the...Ch. 13.5 - Construct a Turing machine with tape 0, 1, and B...Ch. 13.5 - Construct a Turning machine with tape symbols 0,...Ch. 13.5 - Construct a Turing machine with tape symbols 0, 1,...Ch. 13.5 - Construct a Turing machine with tape symbols 0, 1,...Ch. 13.5 - Construct a Turing machine with tape symbols 0, 1,...Ch. 13.5 - Construct a Turing machine that recognizes the set...Ch. 13.5 - Construct a Turing machine that recognizes the set...Ch. 13.5 - Construct a Turing machine that recognizes the set...Ch. 13.5 - Show at each step the contents of the tape of the...Ch. 13.5 - Explain why the Turing machine in Example 3...Ch. 13.5 - Construct a Turing machine that recognizes the set...Ch. 13.5 - Construct a Turing machine that recognizes the set...Ch. 13.5 - Construct a Turing machine that computes the...Ch. 13.5 - Construct a Turing machine that computes the...Ch. 13.5 - Construct a Turing machine that computes the...Ch. 13.5 - Construct a Turing machine that computes the...Ch. 13.5 - Construct a Turing machine that computes the...Ch. 13.5 - Construct a Turing machine that computes the...Ch. 13.5 - Construct a Turing machine that computes the...Ch. 13.5 - Construct a Turing machine that computes the...Ch. 13.5 - Construct a Turning machine that computes the...Ch. 13.5 - Prob. 27ECh. 13.5 - Prob. 28ECh. 13.5 - Which of the following problems is a decision...Ch. 13.5 - Which of the following problems is a decision...Ch. 13.5 - Prob. 31ECh. 13.5 - Show that the function B(n) cannot be computed by...Ch. 13 - a) Define a phrase-structure grammar. b) What does...Ch. 13 - a) What is the language generated by a...Ch. 13 - Prob. 3RQCh. 13 - Prob. 4RQCh. 13 - Prob. 5RQCh. 13 - a) What is a finite-state machine? b) Show how a...Ch. 13 - Prob. 7RQCh. 13 - Prob. 8RQCh. 13 - Prob. 9RQCh. 13 - Prob. 10RQCh. 13 - a) Define a nondeterministic finite-state...Ch. 13 - a) Define the set of regular expressions over a...Ch. 13 - Prob. 13RQCh. 13 - Prob. 14RQCh. 13 - Prob. 15RQCh. 13 - Prob. 16RQCh. 13 - Describe how Turing machines are used to recognize...Ch. 13 - Prob. 18RQCh. 13 - Prob. 19RQCh. 13 - Prob. 1SECh. 13 - Prob. 2SECh. 13 - Prob. 3SECh. 13 - Prob. 4SECh. 13 - Prob. 5SECh. 13 - Prob. 6SECh. 13 - Prob. 7SECh. 13 - Prob. 8SECh. 13 - Prob. 9SECh. 13 - Prob. 10SECh. 13 - Prob. 11SECh. 13 - Prob. 12SECh. 13 - Prob. 13SECh. 13 - Construct a finite-state machine with output that...Ch. 13 - Construct a finite-state machine with output that...Ch. 13 - Prob. 16SECh. 13 - Prob. 17SECh. 13 - Prob. 18SECh. 13 - Construct a deterministic finite-state automaton...Ch. 13 - Prob. 20SECh. 13 - Prob. 21SECh. 13 - Prob. 22SECh. 13 - Prob. 23SECh. 13 - Prob. 24SECh. 13 - Prob. 25SECh. 13 - Show that {02nnN} is not regular. You may use the...Ch. 13 - Prob. 27SECh. 13 - Prob. 28SECh. 13 - Construct a Turing machine that computes the...Ch. 13 - Prob. 30SECh. 13 - Prob. 1CPCh. 13 - Prob. 2CPCh. 13 - Prob. 3CPCh. 13 - Prob. 4CPCh. 13 - Given the state table of a Moore machine and an...Ch. 13 - Given the state table of a Mealy machine and an...Ch. 13 - Given the state table of a deterministic...Ch. 13 - Prob. 8CPCh. 13 - Prob. 9CPCh. 13 - Prob. 10CPCh. 13 - Given a regular grammar, construct a finite-state...Ch. 13 - Given a finite-state automaton, construct a...Ch. 13 - Prob. 13CPCh. 13 - Solve the busy beaver problem for two states by...Ch. 13 - Prob. 2CAECh. 13 - Prob. 3CAECh. 13 - Prob. 4CAECh. 13 - Prob. 5CAECh. 13 - Prob. 1WPCh. 13 - Describe the Backus-Naur form (and extended...Ch. 13 - Explain how finite-state machines are used by...Ch. 13 - Explain how finite-state machines are used in the...Ch. 13 - Explain how finite-state machines are used in...Ch. 13 - Compare the use of Moore machines versus Mealy...Ch. 13 - Explain the concept of minimizing finite-state...Ch. 13 - Give the definition of cellular automata, Explain...Ch. 13 - Define a pushdown automaton. Explain how pushdown...Ch. 13 - Define a linear-bounded automaton. Explain how...Ch. 13 - Prob. 11WPCh. 13 - Prob. 12WPCh. 13 - Prob. 13WPCh. 13 - Show that a Turing machine can simulate any action...Ch. 13 - Prob. 15WPCh. 13 - Describe the basic concepts of the lambda-calculus...Ch. 13 - Show that a Turing machine as defined in this...Ch. 13 - Prob. 18WP
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- A marketing professor has surveyed the students at her university to better understand attitudes towards PPT usage for higher education. To be able to make inferences to the entire student body, the sample drawn needs to represent the university’s student population on all key characteristics. The table below shows the five key student demographic variables. The professor found the breakdown of the overall student body in the university’s fact book posted online. A non-parametric chi-square test was used to test the sample demographics against the population percentages shown in the table above. Review the output for the five chi-square tests on the following pages and answer the five questions: Based on the chi-square test, which sample variables adequately represent the university’s student population and which ones do not? Support your answer by providing the p-value of the chi-square test and explaining what it means. Using the results from Question 1, make recommendation for…arrow_forwardQuestion 10 6 5 4 3 2 -π/4 π/4 π/2 -1 -2 -3- -4 -5- -6+ For the graph above, find the function of the form f(x)=a tan(bx)+c where a=-1 or +1 only f(x) = Question Help: Videoarrow_forwardMODELING REAL LIFE Your checking account has a constant balance of $500. Let the function $m$ represent the balance of your savings account after $t$ years. The table shows the total balance of the accounts over time. Year, $t$ Total balance 0 1 2 3 4 5 $2500 $2540 $2580.80 $2622.42 $2664.86 $2708.16 a. Write a function $B$ that represents the total balance after $t$ years. Round values to the nearest hundredth, if necessary. $B\left(t\right)=$ Question 2 b. Find $B\left(8\right)$ . About $ a Question 3 Interpret $B\left(8\right)$ . b represents the total balance checking and saving accounts after 8 years the balance would be 16 / 10000 Word Limit16 words written of 10000 allowed Question 4 c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. A = 11998.70 SINCE 9000 is the principal ( 1+0.036/12)12 times 8 gives me aproxtimately 1997 14 / 10000 Word Limit14 words written of 10000 allowed Skip to…arrow_forward
- Listen MODELING REAL LIFE Your checking account has a constant balance of $500. Let the function m represent the balance of your savings account after t years. The table shows the total balance of the accounts over time. Year, t Total balance 0 $2500 1 $2540 2 $2580.80 3 $2622.42 4 $2664.86 5 $2708.16 a. Write a function B that represents the total balance after t years. Round values to the nearest hundredth, if necessary. B(t) = 500 + 2000(1.02)* b. Find B(8). About $2843.32 Interpret B(8). B I U E T² T₂ c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. B I U E E T² T₂ A = 11998.70 SINCE 9000 is the principal (1+0.036/12)12 times 8 gives me aproxtimately 1997arrow_forward14. Show that if a, b, and c are integers such that (a, b) = 1 and c | (a+b), then (c, a) = (c, b) = 1.arrow_forwardA retail chain is interested in determining whether a digital video point-of-purchase (POP) display would stimulate higher sales for a brand advertised compared to the standard cardboard point-of-purchase display. To test this, a one-shot static group design experiment was conducted over a four-week period in 100 different stores. Fifty stores were randomly assigned to the control treatment (standard display) and the other 50 stores were randomly assigned to the experimental treatment (digital display). Compare the sales of the control group (standard POP) to the experimental group (digital POP). What were the average sales for the standard POP display (control group)? What were the sales for the digital display (experimental group)? What is the (mean) difference in sales between the experimental group and control group? List the null hypothesis being tested. Do you reject or retain the null hypothesis based on the results of the independent t-test? Was the difference between the…arrow_forward
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