Introduction to Java Programming and Data Structures, Comprehensive Version, Student Value Edition (11th Edition)
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Chapter 23.6, Problem 23.6.5CP
Program Plan Intro

Heap:

  • A heap is considered to be binary tree if it has following properties
    • When it is complete binary tree.
    • Every node is greater than or equal to its 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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