SOLUTION: In a certain distribution, the mean is 50 with a standard deviation of 6. Use Chebyshev's theorem to tell the probability that a number lies in the following interval. Round your r

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Question 202186: In a certain distribution, the mean is 50 with a standard deviation of 6. Use Chebyshev's theorem to tell the probability that a number lies in the following interval. Round your results to the nearest whole percent.
Between 20 and 80
A) At least 94%
B) At least 98%
C) At least 99%
D) At least 96%

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a certain distribution, the mean is 50 with a standard deviation of 6. Use Chebyshev's theorem to tell the probability that a number lies in the following interval. Round your results to the nearest whole percent.
Between 20 and 80
A) At least 94%
B) At least 98%
C) At least 99%
D) At least 96%
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(20-50)/6 = -30/6 = -5
(80-50)/6 = 30/6 = 5
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20 is 5 standard deviations to the left of the mean.
80 is 5 standard deviations to the right of the mean.
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The probability a number lies in the interval is at least 99%
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Cheers,
Stan H.