Microsoft Visual C#
7th Edition
ISBN: 9781337102100
Author: Joyce, Farrell.
Publisher: Cengage Learning,
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[5 marks] Give a recursive definition for the language anb2n where n = 1, 2, 3, ... over the alphabet Ó={a, b}.
2) [12 marks] Consider the following languages over the alphabet ={a ,b},
(i) The language of all words that begin and end an a
(ii) The language where every a in a word is immediately followed by at least one b.
(a) Express each as a Regular Expression
(b) Draw an FA for each language
(c) For Language (i), draw a TG using at most 3 states
(d) For Language (ii), construct a CFG.
Question 1 Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule. Question 2 Construct a frequency polygon density estimate for the sample in Question 1, using bin width determined by Sturges’ Rule.
Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule.
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