The Basic Practice of Statistics
7th Edition
ISBN: 9781464142536
Author: David S. Moore, William I. Notz, Michael A. Fligner
Publisher: W. H. Freeman
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Chapter 4, Problem 4.16CYS
To determine
To Identify: The values of IQ and GPA score for a particular student in the given figure.
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solve the question based on hw 1, 1.41
T1.4: Let ẞ(G) be the minimum size of a vertex cover, a(G) be the maximum size of an
independent set and m(G) = |E(G)|.
(i) Prove that if G is triangle free (no induced K3) then m(G) ≤ a(G)B(G). Hints - The
neighborhood of a vertex in a triangle free graph must be independent; all edges have at least
one end in a vertex cover.
(ii) Show that all graphs of order n ≥ 3 and size m> [n2/4] contain a triangle. Hints - you
may need to use either elementary calculus or the arithmetic-geometric mean inequality.
Chapter 4 Solutions
The Basic Practice of Statistics
Ch. 4.1 - Prob. 4.1AYKCh. 4.1 - Prob. 4.2AYKCh. 4.1 - Prob. 4.3AYKCh. 4.2 - Prob. 4.4AYKCh. 4.2 - Prob. 4.5AYKCh. 4.3 - Prob. 4.6AYKCh. 4.3 - Prob. 4.7AYKCh. 4.3 - Prob. 4.8AYKCh. 4.4 - Prob. 4.9AYKCh. 4.5 - Prob. 4.10AYK
Ch. 4.6 - Prob. 4.11AYKCh. 4.6 - Prob. 4.12AYKCh. 4.6 - Prob. 4.13AYKCh. 4 - Prob. 4.14CYSCh. 4 - Prob. 4.15CYSCh. 4 - Prob. 4.16CYSCh. 4 - Prob. 4.17CYSCh. 4 - Prob. 4.18CYSCh. 4 - Prob. 4.19CYSCh. 4 - Prob. 4.20CYSCh. 4 - Prob. 4.21CYSCh. 4 - Prob. 4.22CYSCh. 4 - Prob. 4.23CYSCh. 4 - Prob. 4.24ECh. 4 - Prob. 4.25ECh. 4 - Prob. 4.26ECh. 4 - Prob. 4.27ECh. 4 - Prob. 4.28ECh. 4 - Prob. 4.29ECh. 4 - Prob. 4.30ECh. 4 - Prob. 4.31ECh. 4 - Prob. 4.32ECh. 4 - Prob. 4.33ECh. 4 - Prob. 4.34ECh. 4 - Prob. 4.35ECh. 4 - Prob. 4.36ECh. 4 - Prob. 4.37ECh. 4 - Prob. 4.38ECh. 4 - Prob. 4.39ECh. 4 - Prob. 4.40ECh. 4 - Prob. 4.41ECh. 4 - Prob. 4.42ECh. 4 - Prob. 4.43ECh. 4 - Prob. 4.44ECh. 4 - Prob. 4.45ECh. 4 - Prob. 4.46ECh. 4 - Prob. 4.47E
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