As it is normally distributed, we can use Z to find the result.
Procedure
0. Finding the value of ,Z
[tex]Z=\frac{x-\mu}{\sigma}[/tex]1.2. Replacing the values given in the problem:
[tex]Z=\frac{6.25-6}{0.25}[/tex][tex]Z=\frac{0.25}{0.25}=1[/tex]2. As it is normally distributed:
[tex]P(x\le6.25)=P(Z\le1)[/tex]3. Using the normal standard table, we can conclude:
[tex]P(Z<1)=0.8413[/tex]As it is asking for a percentage, we multiply by 100.
Answer: C) 84%
