Question 301727
Find the z score for 180 and 205.
{{{z(180)=(180-200)/25=-0.8}}}
{{{z(205)=(205-200)/25=0.2}}}
Now lookup the area under the curve for each z score (NORMDIST in EXCEL).
{{{A(180)=0.2119}}}
{{{A(205)=0.5793}}}
The difference in those is the area of interest to us.
{{{A=0.3674}}}
So almost 37% lies between 180 and 205.
.
..
The z score for 187 is 0.3015.
The z score for 186 is 0.2877.
The z score for 186.9 is 0.3001.
{{{X=186.9}}}