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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. Estimate the probability that in 18 independent measurements of this tower, the average of the measurements is between 199 and 201, inclusive. | 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. Estimate the probability that in 18 independent measurements of this tower, the average of the measurements is between 199 and 201, inclusive. | ||
<ul class="mw-excansopts"> | |||
<li>0.975</li> | |||
<li>0.98</li> | |||
<li>0.983</li> | |||
<li>0.99</li> | |||
<li>0.997</li> | |||
</ul> | |||
'''References''' | '''References''' | ||
{{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}} | {{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}} | ||
Latest revision as of 19:03, 27 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. Estimate the probability that in 18 independent measurements of this tower, the average of the measurements is between 199 and 201, inclusive.
- 0.975
- 0.98
- 0.983
- 0.99
- 0.997
References
Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.