A coffee vending machine fills cups with coffee The amount o
A coffee vending machine fills cups with coffee. The amount of fill follows the normal curve with an average of 6.6 ounces and standard deviation of 0.2 ounces. What percentage of the time will a 7-ounce cup overflow? Find the 80th percentile of the amount of fill.
Solution
(a)x=6.6, =0.2, =7
x=+z => z =(x-)/
7=x-z =>z =(6.6-7)/0.2=-0.4/0.2=-2
therfore percentage =97.73%
(b)percentage=80% so, z=0.805
=x-z=6.6-0.805*0.2=6.439
