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IQ scores are standardized to produce a normal distribution with a mean of µ = 100...

IQ scores are standardized to produce a normal distribution with a mean of µ = 100 and a standard deviation of σ = 15. Find the proportion of the population in the following IQ category: IQ greater than 160. The proportion is Group of answer choices .0039 .49997 .008 .00003

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Answer #1

Given that the IQ scores are standardized to produce a normal distribution with a mean of µ = 100 and a standard deviation of σ = 15.

Now the proportion of the population in the following IQ category: IQ greater than 160 P(X>16) is calculated by finding the Z score which is calculated as:

Now the probability is calculated using the excel formula for normal distribution which is =1-NORM.S.DIST(4, TRUE)

thus the probability is computed as:

P(X>160) = 0.00003

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