(Solved): Please Help please show detailed steps! It is known that weights of newborns at a certain hospita ...

Please Help please show detailed steps!

It is known that weights of newborns at a certain hospital are normally distributed with a mean and standard deviation of $3.7\mathrm{kg}$ and $1.0\mathrm{kg}$, respectively. a. What percent of babies weigh more than $4\mathrm{kg}$ at birth? b. If we took a random sample of 100 babies, what is the probability that their mean weight is greater than $4\mathrm{kgs}$ ?