suppose that IQ scores within a population are normally distributed with a mean 100 and a s.d. 10. area enclosed under normal curve for IQ scores between 115 and 125 is?
Answers
The area enclosed under the normal curve for IQ scores between 115 and 125 is 0.060598.
Given:
μ = 100 ,σ = 10
To Find:
The area enclosed under the normal curve for IQ scores between 115 and 125
Solution:
Formula
z = (X - μ )/σ
At X = 115
z = (115-100)/10
= 15/10
= 1.5
At X = 125
z = (125-100)/10
= 25/10
= 2.5
The area enclosed under the normal curve for IQ scores between 115 and 125 equals the probability that X is between 115 and 125.
P(115<X<125) = P(1.5<z<2.5) = 0.060598.
∴ The area enclosed under the normal curve for IQ scores between 115 and 125 is 0.060598.
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