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The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1...

The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 64 inches and standard deviation of 3 inches. Use this information to answer the questions.

(a) What is the probability that a randomly selected woman from this university is 67 inches or taller? (Give the answer to two decimal places.)

(b) What is the probability that two randomly selected women from this university are both 67 inches or shorter? (Give the answer to four decimal places.)

(c) What is the probability that of two randomly selected women, one is 67 inches or shorter and the other is 67 inches or taller? (Give the answer to four decimal places.)

(d) What is the probability that two randomly selected women are both 64 inches or taller? (Give the answer to two decimal places.)

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