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Math Help - Random Variables/Distributions help

  1. #1
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    Random Variables/Distributions help

    I have no idea how to do the following question, any help is appreciated.

    Among healthy adults the concentration of arsenic in the blood is normally distributed with a mean of 3.2 micrograms per decilitre (μg/dL) and a standard deviation of 1.5 μg/dL. Suspecting that groundwater in the local area might be contaminated with arsenic, a resident had her own blood sampled and the arsenic level in her blood was found to be 6.5 μg/dL. Is it reasonable for her to think that she had been exposed to arsenic contamination?
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  2. #2
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    Quote Originally Posted by mightysparks View Post
    I have no idea how to do the following question, any help is appreciated.

    Among healthy adults the concentration of arsenic in the blood is normally distributed with a mean of 3.2 micrograms per decilitre (μg/dL) and a standard deviation of 1.5 μg/dL. Suspecting that groundwater in the local area might be contaminated with arsenic, a resident had her own blood sampled and the arsenic level in her blood was found to be 6.5 μg/dL. Is it reasonable for her to think that she had been exposed to arsenic contamination?
    You need to consider Pr(X > 6.5) given X ~ Normal(3.2, 1.5^2) and draw a conclusion.
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