The standard normal distribution or standardized normal distribution is a singular normal distribution. Its variable, Z is the product of a transformation or change of variable of the variable X. This transformation is called typing:
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
From our exercise, the values of
[tex]\begin{gathered} \mu=0 \\ \sigma=1 \end{gathered}[/tex][tex]\begin{gathered} Z=\frac{X-0}{1} \\ Z=X \end{gathered}[/tex][tex]\begin{gathered} X=0.9265 \\ Z=0.9265 \end{gathered}[/tex]
Now we look up this value of z in our table so we can find the probability at this point. the first digits that is 0.9 tells us in which row we are going to search and the third 0.02 in which column
[tex]0.92\to0.8212[/tex]
The probability calculated with the z score is 0.82()82%
