[See Steps] Weights (X) of men in a certain age group have a normal distribution with mean μ =180 pounds and standard deviation σ =20 pounds.
Question: Weights ( X ) of men in a certain age group have a normal distribution with mean \(\mu \) =180 pounds and standard deviation \(\sigma \) =20 pounds. Find each of the following probabilities:
a.) \(\Pr \left( X\le 200 \right)\), the probability the weight of a randomly selected man is less than or equal to 200 pounds
b.) \(\Pr \left( X\le 165 \right)\), probability the weight of a randomly selected man is less than or equal to 165 pounds
c.) \(\Pr \left( X>165 \right)\), the probability the weight of a randomly selected man is more than 165 pounds
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