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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> 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...") |
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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 style="list-style-type:lower-alpha"><li> Find the expected value and the variance for the height obtained using | |||
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 | |||
this instrument once. | this instrument once. | ||
</li> | </li> | ||
Latest revision as of 23:02, 14 June 2024
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.