A machine in a large factory is designed to mill a small lawnmower engine part out of a solid piece of aluminum. The distribution of times that it takes the machine to mill a part is approximately normally distributed with a mean of 39.2 seconds with a standard deviation of 14.2 seconds. What is the probability that:
a.
The part takes more than 50 seconds to make
b. The part takes between 30 and 40 seconds to make How long do the bottom 10% of all parts take to make?
The part takes exactly 45 seconds to make?