𝑓 𝑥 =1

𝜎√2𝜋𝑒−

𝑥2

2𝜎𝑥2

± 1𝜎

± 2𝜎

± 6𝜎

Fraction of area left of LSLOriginal: 9.866 x 10−10

+1.5 𝜎 shift: 3.191 x 10−14

-1.5 𝜎 shift: 3.398 x 10−6

Total fraction beyond ±6𝜎Original: 1.973 x 10−9

+1.5𝜎 shift: 3.398 x 10−6

-1.5𝜎 shift: 3.398 x 10−6

Fraction of area left of USLOriginal: 9.866 x 10−10

+1.5𝜎 shift: 3.398 x 10−6

-1.5𝜎 shift: 3.398 x 10−6