Normal Distributions Explained – With Real-World Examples
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YouTubeSocratica
Normal Distributions Explained – With Real-World Examples
⏭️ 𝘾𝙤𝙣𝙣𝙚𝙘𝙩 𝙬𝙞𝙩𝙝 𝙪𝙨 𝙤𝙣 𝙋𝘼𝙏𝙍𝙀𝙊𝙉 https://www.patreon.com/socratica Why do so many things in the world follow the same smooth, bell-shaped curve? Heights, weights, test scores, daily revenues—they all tend to cluster around a central value and taper off symmetrically. This ...
268.9K views6 months ago
Empirical Distribution Function Examples
Standard normal distribution and the empirical rule (from ck12.org)
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Let X1, …, Xn ∼F and let F be the empirical distribution function. Let a<b be fixed numbers and define θ=T(F)=F(b)-F(a). Let θ=T(Fn)=Fn(b)-Fn(a). Find the estimated standard error of θ. Find an expression for an approximate 1-αconfidence interval for θ. | Numerade
Let X1, …, Xn ∼F and let F be the empirical distribution function. Let a<b be fixed numbers and define θ=T(F)=F(b)-F(a). Let θ=T(Fn)=Fn(b)-Fn(a). Find the estimated standard error of θ. Find an expression for an approximate 1-αconfidence interval for θ. | Numerade
numerade.com
Dec 12, 2021