SOLUTION: A probability distribution has a mean of zero and a standard deviation of 1. Use Chebychev's inequality to estimate the probability that an outcome of the experiment lies between

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Question 231538: A probability distribution has a mean of zero and a standard deviation of 1. Use Chebychev's inequality to estimate the probability that an outcome of the experiment lies between -2 and 2.
Please help. thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A probability distribution has a mean of zero and a standard deviation of 1. Use Chebychev's inequality to estimate the probability that an outcome of the experiment lies between -2 and 2.
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The interval -2 to +2 covers all the values within k = 2 standard deviations
of the mean.
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According to Chebyshev this interval contains at least 1-(1/2^2) = 1-1/4
= 75% of the outcomes of the experiment.
Ans: >= 75%
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Cheers,
Stan H.