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Z=X−μσ∼N(0,1)\displaystyle Z = \frac{X - \mu}{\sigma} \sim N(0,1)Z=σX−μ∼N(0,1). P(a<X<b)=Φ (b−μσ)−Φ (a−μσ)\displaystyle P(a < X < b) = \Phi\!\left(\frac{b-\mu}{\sigma}\right) - \Phi\!\left(\frac{a-\mu}{\sigma}\right)P(a<X<b)=Φ(σb−μ)−Φ(σa−μ).
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