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Find the number z that is the 2020th percentile of the standard normal distribution.
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Find the number z that is the 2020th percentile of the standard normal distribution.

User Adi Fatol
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1 Answer

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The 20th percentile corresponds to the "top" 20% of the distribution, i.e. the critical value
z such that


\mathbb P(Z\le z)=0.80=F_Z(z)\implies z={F_Z}^(-1)(0.80)\approx0.8416

where
F_Z(z) is the CDF for a standard normal distribution.
User Monessah
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