The probability value for the normal distribution is between 0 and 1 that is 0<Pr<0.3413
First, we need to get the z-value for both x-values
The formula for calculating the z-score is expressed as:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
If x = 36.3
[tex]z=\frac{36.3-36.3}{0.5}\\z=\frac{0}{0.5}\\z=0[/tex]
Similarly, if x = 36.8
[tex]z=\frac{36.8-36.3}{0.5}\\z=\frac{0.5}{0.5}\\z=1.0[/tex]
This shows that the z-value for the normal distribution is between 0 and 1 that is 0<z<1
The probability value for the normal distribution is between 0 and 1 that is 0<Pr<0.3413
Learn more on normal distribution here: https://brainly.com/question/23418254
