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A report on rural water resources states that the nitrate level of wells in a certain groundwater system has a probability distribution whose mean and standard deviation are 5.2, 2.1 ppm, respectively. From the Chebyshev inequality, determine the minimum probability that a well in this system will have a nitrate level between 0.4 and 10.0 ppm.

For a standardised random variable Y corresponding to a random variable X:

$Y = \frac{X - E\left \{ X \right \}}{\sigma\left \{ X \right \}}$

Any hints to further my attempt is much appreciated.

Thanks in advance.

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  • $\begingroup$ This seems to be two different questions. Are you asking about the question you have quoted or are you trying to ask something about your data Y? If it's the latter, what are you asking? $\endgroup$ – whuber Aug 25 '18 at 13:31
  • $\begingroup$ @whuber the question I have quoted. Everything else is my attempt thus far. $\endgroup$ – Physkid Aug 26 '18 at 14:09
  • $\begingroup$ I am confused because very little that follows the question seems to be related to the question. See stats.stackexchange.com/search?q=chebyshev+inequality for related questions. $\endgroup$ – whuber Aug 26 '18 at 15:03