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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> (Ross<ref group="Notes" >S. Ross, ''A First Course in Probability Theory,'' 2d ed. (New York: Macmillan, 1984).</ref>) An expert witness in a paternity suit testifies that the length (in days) of a pregnancy, from conception to delivery, is approx...")
 
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(Ross<ref group="Notes" >S. Ross, ''A First Course in Probability Theory,'' 2d ed. (New York: Macmillan, 1984).</ref>) An expert witness in a paternity suit testifies that the length (in days) of a pregnancy, from conception to delivery, is approximately normally distributed, with parameters <math>\mu = 270</math>, <math>\sigma = 10</math>.  The defendant in the suit is able to prove that he was out of the country during the period from 290 to 240 days before the birth of the child.  What is the probability that the defendant was in the country when the child was conceived?
\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> (Ross<ref group="Notes" >S. Ross, ''A First Course in Probability
Theory,'' 2d ed. (New York: Macmillan, 1984).</ref>) An expert witness in a paternity suit testifies that the length (in days) of a pregnancy, from conception to delivery, is
approximately normally distributed, with parameters <math>\mu = 270</math>,
<math>\sigma = 10</math>.  The defendant in the suit is able to prove that he was out of the
country during the period from 290 to 240 days before the birth of the child.  What is
the probability that the defendant was in the country when the child was conceived?


'''Notes'''
'''Notes'''


{{Reflist|group=Notes}}
{{Reflist|group=Notes}}

Latest revision as of 01:10, 14 June 2024

(Ross[Notes 1]) An expert witness in a paternity suit testifies that the length (in days) of a pregnancy, from conception to delivery, is approximately normally distributed, with parameters [math]\mu = 270[/math], [math]\sigma = 10[/math]. The defendant in the suit is able to prove that he was out of the country during the period from 290 to 240 days before the birth of the child. What is the probability that the defendant was in the country when the child was conceived?

Notes

  1. S. Ross, A First Course in Probability Theory, 2d ed. (New York: Macmillan, 1984).