Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of $719$ babies born in New York. The mean weight was $3199$ grams with a standard deviation of $831$ grams. Assume that birth weight data are approximately bell$-$shaped.

Part $1$ of $3$

$($a$)$ Estimate the number of newborns whose weight was less than $4861$ grams.

Approximately of the $719$ newborns weighed less than $4861$ grams.

Part $2$ of $3$

$($b$)$ Estimate the number of newborns whose weight was greater than $2368$ grams.

Approximately of the $719$ newborns weighed more than $2368$ grams.

Part $3$ of $3$

$($c$)$ Estimate the number of newborns whose weight was between $3199$ and $4030$ gran

Approximately of the $719$ newborns weighed between $3199$ and $4030$ grams.