Electronic commerce: Electronic commerce is a method of buying and selling of products or goods through online. Here, money and data transactions are done using internet. Electronic commerce is also called as E-commerce or internet commerce. Even though the technologies available such as e-mail, social media, and mobiles, the modern e-commerce mostly uses the internet for the online purchasing of products. It is the most efficient method to communicate within the organization of business transactions such as maintaining the financial records of the users such as bank balances, name, and address. But it is just a part of e-commerce business.

Question

[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.

Answer 1

Question

Chapter 7, Problem 2WE

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Electronic commerce:

Electronic commerce is a method of buying and selling of products or goods through online. Here, money and data transactions are done using internet.

Electronic commerce is also called as E-commerce or internet commerce.

Even though the technologies available such as e-mail, social media, and mobiles, the modern e-commerce mostly uses the internet for the online purchasing of products.

It is the most efficient method to communicate within the organization of business transactions such as maintaining the financial records of the users such as bank balances, name, and address. But it is just a part of e-commerce business.

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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.

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