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Chapter 5: Q 107. (page 333)

BMI (2.2) People with BMI less than 18.5 are often classed as 鈥渦nderweight.鈥� What percent of young women are underweight by this criterion? Sketch and shade the area of interest under a Normal curve.

Short Answer

Expert verified

P (X < 18.5) = 13.14%

Step by step solution

01

Step 1. Given Information

渭 = 26.8

蟽 = 7.4

02

Step 2. Concept used

Conditional probability :PB/A=PAandBPA

03

Step 3. Calculation

The z-score is the difference between the mean and the standard deviation:

z=x鈭�渭蟽=18.5鈭�26.8/7.4鈮�鈭�1.12

Using the normal probability, apply the definitional conditional probability:

P(X<18.5)=P(Z<鈭�1.12)=0.1314=13.14%

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