[See Solution] Weights X of men in a certain age group have a normal distribution with mean μ =180 pounds and a standard deviation of σ =20 pounds.


Question: Weights X of men in a certain age group have a normal distribution with mean \(\mu =180\) pounds and a standard deviation of \(\sigma =20\) pounds. Find each of the following probabilities:

  1. \(\Pr \left( X\le 200 \right)\)
  2. \(\Pr \left( X\le 165 \right)\)
  3. \(\Pr \left( X>165 \right)\)

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