exercise:Fe0d662929: Difference between revisions
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(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> Let <math>S</math> be the number of heads in 1,00,00 tosses of a fair coin. Use (a) Chebyshev's inequality, and (b) the Central Limit Theorem, to estimate the probability that <math>S</math> lies between 499,00 and 500,00. Use the same two meth...") |
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Let <math>S</math> be the number of heads in 1,00,00 tosses of a fair coin. Use (a) Chebyshev's inequality, and (b) the Central Limit Theorem, to | |||
coin. Use (a) Chebyshev's inequality, and (b) the Central Limit Theorem, to | |||
estimate the probability that <math>S</math> lies between 499,00 and 500,00. Use | estimate the probability that <math>S</math> lies between 499,00 and 500,00. Use | ||
the same two methods to estimate the probability that <math>S</math> lies between | the same two methods to estimate the probability that <math>S</math> lies between | ||
499,00 and 501,00, and the probability that <math>S</math> lies between 498,00 | 499,00 and 501,00, and the probability that <math>S</math> lies between 498,00 | ||
and 501,00. | and 501,00. | ||
Latest revision as of 23:57, 14 June 2024
Let [math]S[/math] be the number of heads in 1,00,00 tosses of a fair coin. Use (a) Chebyshev's inequality, and (b) the Central Limit Theorem, to estimate the probability that [math]S[/math] lies between 499,00 and 500,00. Use the same two methods to estimate the probability that [math]S[/math] lies between 499,00 and 501,00, and the probability that [math]S[/math] lies between 498,00 and 501,00.