Starting Out with C++ from Control Structures to Objects (8th Edition)
Starting Out with C++ from Control Structures to Objects (8th Edition)
8th Edition
ISBN: 9780133769395
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 20, Problem 24RQE
Program Plan Intro

Binary tree:

  • It is a tree data structure which comes under hierarchical data structure.
  • It is made of nodes that have a left child, right child and a data element.

Nodes in a binary tree:

  • The node which is at the top of a binary tree is called “root node”.
  • The element that has children is known as “parent node”.
  • The element that is under an element is known as “children”.
  • The element or the node that has two children is called “leaves” or “external nodes”.
  • In binary tree, each node should have at most two children.

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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 ƒ={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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