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Babies birth weights are normally distributed with mean of 3:4kg and a standard
deviation of 0:57kg. Low birth weight is an important indicator of a newborn baby’s
chances of survival. One definition of low birth weight is that this is equal to the
0:05-quantile 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 describe babies who are born weighing less than
1:5kg. 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 it has
very low birth weight?