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The amount x of beverage in a can labeled 12 ounces is normally distributed with mean12.1ounces and standard deviation 0.05 ounce. A can is selected at random.

(a) Find the probability that the can contains at least 12 ounces.

(b) Find the probability that the can contains between 11.9 and 12.1 ounces.

Heights X of adult men are normally distributed with mean 69.1 inches and standard deviation 2.92 inches. Juliet, who is 63.25 inches tall, wishes to date only men who are taller than she but within 6 inches of her height. Find the probability that the next man she meets will have such a height.

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