A surveying instrument makes an error of -2 ,-1,0,1or 2 feet with equal probabilities when measuring the height of a 200

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answerhappygod
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A surveying instrument makes an error of -2 ,-1,0,1or 2 feet with equal probabilities when measuring the height of a 200

Post by answerhappygod »

A surveying instrument makes an error of -2 ,-1,0,1or 2 feet
with equal
probabilities when measuring the height of a 200-foot tower.
a. Find the expected value and the variance for the height obtained
using this instrument
once.
b. Use the Central Limit Theorem to estimate the probability that
in 100 independent
measurements of this tower, the average of the measurements (of
heights) is between
199.75 and 200.25 feet, inclusive.
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