Find the value of Z if the normal curve area between 0 and Z (positive) is 0.4332.
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Expert's answer
2020-05-18T19:57:30-0400
Initially, we have that the value of the integral of the normal distribution function is 0.4332. The normal distribution function can be expressed as f(x)=σ2π1e−2σ2(x−a)2.
the last integral is laplace function and it is very nice, because all its values are already calculated and you can see them, for example, here http://yunus.hacettepe.edu.tr/~ezgiyilmaz/files/tables.pdf.
As we can see the value of our integral reached when z is equal to 1.5.
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