Question: Weights (X) of men in a certain age group have a normal distribution with mean μ = 180 pounds and standard deviation σ = 20 pounds. Find each of the following probabilities:
a. P(X ≤ 200) = probability the weight of a randomly selected man is less than or equal to 200 pounds.
b. P(X ≤ 165) = probability the weight of a randomly selected man is less than or equal to 165 pounds.
c. P(X > 165) = probability the weight of a randomly selected man is more than 165 pounds.