05. Quiz: Standard Normal Distribution

PDF of Standard Normal Distribution: X∼N X \sim \mathcal{N}

f(x)=12π  e−x22 f(x)={\frac{1}{\sqrt {2\pi }}}\;e^{-\frac{x^{2}}{2}}

PDF of Normal Distribution: X∼N(μ,σ2) X \sim \mathcal{N}(\mu,\sigma^2)

f(x∣μ,σ2)=12πσ2  e−(x−μ)22σ2 f(x \vert \mu, \sigma^2)={\frac{1}{\sqrt {2 \pi \sigma^2}}}\;e^{-\frac{(x-\mu)^{2}}{2 \sigma^2}}

Standard Normal Distirbution

What values of μ \mu and σ \sigma make a Normal distribution the same as the Standard Normal distribution?

SOLUTION: μ = 0, σ = 1

Next Concept