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A probability distribution has a mean of 25 and a standard deviation of 4. Use Chebychev's...

A probability distribution has a mean of 25 and a standard deviation of 4. Use Chebychev's inequality to find a bound on the probability that an outcome of the experiment lies between the following.
(a) 20 and 30
at least %

(b) 15 and 35
at least %
Math   Statistics-And-Probability   
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Answer #1

According to Chebychev's inequality, we have

a)

Take

i.e. at least 36%

b)

Take

i.e. at least 84%

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