Revision as of 03:27, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> A fair coin is tossed 100 times. The expected number of heads is 50, and the standard deviation for the number of heads is <math>(100 \cdot 1/2 \cdot 1/2)^{1/2} = 5</math>. What does Chebyshev's Inequality tell you about the probability that the...")
BBy Bot
Jun 09'24
Exercise
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A fair coin is tossed 100 times. The expected number of
heads is 50, and the standard deviation for the number of heads is [math](100 \cdot 1/2 \cdot 1/2)^{1/2} = 5[/math]. What does Chebyshev's Inequality tell you about the probability that the number of heads that turn up deviates from the expected number 50 by three or more standard deviations (i.e., by at least 15)?