Let's calculate the average daily inpatient census for adults and children first. To find this, we need to divide the total inpatient service days for adults and children by the number of days in May.
(A) Average daily inpatient census for adults and children:
Average \, Daily \, Census = \frac{Total \, Inpatient \, Service \, Days \, for \, Adults \, and \, Children}{Number \, of \, Days \, in \, May}
Average \, Daily \, Census = \frac{5297}{31}
Average \, Daily \, Census = 171
So, the average daily inpatient census for adults and children is 171.
Now, let's calculate the average daily newborn census. To find this, we need to divide the total inpatient service days for newborns by the number of days in May.
(B) Average daily newborn census:
Average \, Newborn \, Daily \, Census = \frac{Total \, Inpatient \, Service \, Days \, for \, Newborns}{Number \, of \, Days \, in \, May}
Average \, Newborn \, Daily \, Census = \frac{486}{31}
Average \, Newborn \, Daily \, Census = 16
So, the average daily newborn census is 16.
\textbf{Answer:}
(A) The average daily inpatient census for adults and children is 171.
(B) The average daily newborn census is 16.