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