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An organization has members who possess iqs in the top 4% of the population. If iqs are normally distributed, with a mean of 105 and a standard deviation of 15, what is the minimum iq required for admission into the organization? use excel, and round your answer up to the nearest integer.



Answer :

contexto1024

Using Normal distribution,

the minimum required iq is 126.66 for admission into organization.

Normal Probability Problem:

In this problem, we are using the z-score of a normal distribution to calculate the minimum IQ value. The z-score is used to convert a random variable into a standard normal variate with mean zero and unit variance.

we have given that,

Normal Distribution: μ = 105 , σ = 15

Normal curve equation is

Z = (X- u)/sd ~ N( 1 ; 0)

P( Z> x ) = 0.04

the value of z to the cumulative probability 0.04 from normal table is 1.7544

P((X-u)/sd > x - 105/15 ) = 0.04

=> x - 105 / 15 = 1.7544

=> x = 1.7544 × 15 + 105 = 126.66

so, the minimum iq required for admission is 126.66..

To learn more about Normal distribution, refer:

https://brainly.com/question/23418254

#SPJ4

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