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Chapter 2: Q. 1.2 (page 114)

The distribution of heights of young women aged 18to 24is approximately N(64.5,2.5)

2. What percent of young women have heights greater than 67inches? Show your work.

Short Answer

Expert verified

The percentage of young women have heights greater than 67inches are 5.6923%.

Step by step solution

01

Given information

Heights of young women aged between=18to24.

Percentage of young women heights greater than 67inches=?

02

Explanation 

Normal distribution =N(64.5,2.5)

Here mean value 渭=64.5

Variance 蟽2=2.5

Then蟽=1.58114

Then z-score, z=x-渭蟽

Here need to find the percentage of heights greater than 67,

localid="1649920459043" P(x>67)=Pz>67鈭�64.52.5P(x>67)=p(z>1.58114)

From the table of normal distribution,

p(x>67)=0.056923

Convert into percentage,

localid="1649920477292" =0.056923脳100%p(x>67)=5.6923%

The normal distribution curve is,

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