Weights (X) of men in a certain age group have a normal distribution with mean ? = 190 pounds and standard deviation ? = 24 pounds. Find each of the following probabilities. (Round all answers to four decimal places.) (a) P(X ≤ 208) = probability the weight of a randomly selected man is less than or equal to 208 pounds. (b) P(X ≤ 166) = probability the weight of a randomly selected man is less than or equal to 166 pounds. (c) P(X > 166) = probability the weight of a randomly selected man is more than 166 pounds.

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Weights (X) of men in a certain age group have a normal distribution with mean ? = 190 pounds and standard deviation ? = 24 pounds. Find each of the following probabilities. (Round all answers to four decimal places.)

(a) P(X ≤ 208) = probability the weight of a randomly selected man is less than or equal to 208 pounds.


(b) P(X ≤ 166) = probability the weight of a randomly selected man is less than or equal to 166 pounds.


(c) P(X > 166) = probability the weight of a randomly selected man is more than 166 pounds.

 

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