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In a survey of women in a certain country​ (ages 20−​29), the mean height was 66.9...

In a survey of women in a certain country​ (ages 20−​29), the mean height was 66.9 inches with a standard deviation of 2.84 inches. Answer the following questions about the specified normal distribution.

​(a) What height represents the 95th ​percentile?

​(b) What height represents the first​ quartile?

Math   Statistics-And-Probability   
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Answer #1

Let X denotes the height of a randomly selected woman.

X ~ Normal(66.9, 2.842)

a) To find the height represents the 95th ​percentile, i.e. to find x such that

b) To find the height represents the first quartile, i.e. to find x such that

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