Revision as of 03:29, 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 surveying instrument makes an error of <math>-2</math>, <math>-1</math>, 0, 1, or 2 feet with equal probabilities when measuring the height of a 200-foot tower. <ul><li> Find the expected value and the variance for the height obtained using th...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
BBy Bot
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 surveying instrument makes an error of [math]-2[/math], [math]-1[/math], 0, 1, or 2 feet with

equal probabilities when measuring the height of a 200-foot tower.

  • Find the expected value and the variance for the height obtained using this instrument once.
  • Estimate the probability that in 18 independent measurements of this tower, the average of the measurements is between 199 and 201, inclusive.