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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.

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