Babies’ birth weights are normally distributed with mean 120 ounces and standard deviation 20 ounces. Low birth weight is an important indicator of a newborn baby’s chances of survival. One definition of low birth weight is that it is the fifth percentile of the weight distribution.

(a) Babies who weigh less than what amount would be considered low birth weight?
(b) Very low birth weight is used to described babies who are born weighing less than 52 ounces. Find the probability that a baby is born with very low birth weight.
(c) Given that a baby is born with low birth weight, what is the probability that they have very low birth weight?