Revision as of 02:28, 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 student's score on a particular calculus final is a random variable with values of <math>[0,100]</math>, mean 70, and variance 25. <ul><li> Find a lower bound for the probability that the student's score will fall between 65 and 75. </li> <li> I...")
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Jun 09'24

Exercise

[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]

A student's score on a particular calculus final is a random variable

with values of [math][0,100][/math], mean 70, and variance 25.

  • Find a lower bound for the probability that the student's score will fall between 65 and 75.
  • If 100 students take the final, find a lower bound for the probability that the class average will fall between 65 and 75.