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1. The heights of the children at a summer camp are normally distributed with a mean of 54 inches and a standard deviation of 2.4 inches. What is the height of a child with a z-score of 1.5?

 

 

 

2. What is P(2≤X≤5)?

jbouyer  Mar 22, 2018
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The z-score is a measure of how many standard deviations the value is from the mean. A z-score of 1.5 means that the value is 1.5 standard deviations above the mean. 

1.5 x 2.4 = 3.6 
54 + 3.6 = 57.6 

Answer: 
57.6 in 

The formula is:  
x = zσ + μ 

z : z-score (1.5) 
σ : standard deviation (2.4)  
μ : mean (54)  

Answer:  
x = 57.6

Lightning  Mar 22, 2018

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