Assume that adult IQ scores on the Weschler IQ test are normally distributed with a mean of 100 points and a standard deviation of 15 points. Find the probability that a randomly selected adult has an IQ between 96 and 111.

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14-06-2022
Mathematics

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Assume that adult IQ scores on the Weschler IQ test are normally distributed with a mean of 100 points and a standard deviation of 15 points. Find the probability that a randomly selected adult has an IQ between 96 and 111.

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leena leena · Answer 1 · 2022-06-14T20:53:28+02:00

Hi there!

With a normal distribution, we can use the operation 'normalcdf' on a calculator to find the probability that a randomly selected adult has an IQ between 96 and 111.

Here is the format for using the operation:

normalcdf(LB, UB, μ, σ)

LB = Lower bound (96)

UB = Upper bound (111)

μ = Mean of normal distribution (100)

σ = Standard deviation of normal distribution (15)

Plug in the given values into the calculator and solve.

[tex]normalcdf(96, 111, 100, 15) = \boxed{0.3735 }[/tex]