Z-score, CDF of normal distributions


x-->Z-score-->CDF ***
https://davidwills.us/math103/cdf_zscore.html

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The empirical rule "slices"

"Calculate Between CDF by Z"
az=-1 bz=1  slice area/probability=     =    %
az=-2 bz=2  slice area/probability=     =    %
az=-3 bz=3  slice area/probability=     =    %

az=0  bz=1  slice area/probability=     =    %
az=-1 bz=0  slice area/probability=     =    %

az=0  bz=2  slice area/probability=     =    %
az=-2 bz=0  slice area/probability=     =    %

Left Half of the 34.1% "slice" from mean to +1 SD:
az=0 bz=0.5  slice area/probability=     =    %
Right Half of the 34.1% "slice" from mean to +1 SD:
az=0.5 bz=1  slice area/probability=     =    %

az=-0.675 bz=0.675  slice area/probability=     =    %    IQR


Set u=100 s=10
"Calculate Between CDF by X"
ax=90  bx=110  slice area/probability=     =    %
ax=80  bx=120  slice area/probability=     =    %
ax=70  bx=130  slice area/probability=     =    %

ax=100 bx=110  slice area/probability=     =    %
ax=90  bx=100  slice area/probability=     =    %

ax=100 bx=120  slice area/probability=     =    %
ax=80  bx=100  slice area/probability=     =    %

Left Half of the 34.1% "slice" from mean to +1 SD:
ax=100 bx=105  slice area/probability=     =    %
Right Half of the 34.1% "slice" from mean to +1 SD:
ax=105 bx=110  slice area/probability=     =    %
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Set u=100 s=10

x=100 --> Z score=_______   
 Calculate CDF.  Left: P(≤z) = CDF(z) = ________   Right:P(≥z)=1-CDF(z)=_______

x=90 --> Z score=_______   
 Calculate CDF.  Left: P(≤z) = CDF(z) = ________   Right:P(≥z)=1-CDF(z)=_______

x=110 --> Z score=_______   
 Calculate CDF.  Left: P(≤z) = CDF(z) = ________   Right:P(≥z)=1-CDF(z)=_______

x=80 --> Z score=_______   
 Calculate CDF.  Left: P(≤z) = CDF(z) = ________   Right:P(≥z)=1-CDF(z)=_______

x=120 --> Z score=_______   
 Calculate CDF.  Left: P(≤z) = CDF(z) = ________   Right:P(≥z)=1-CDF(z)=_______