The mean weight of a single newborn baby at City Central Hospital is 111.2 ounces with a standard deviation of 16.05 ounces. Let us assume that the weight, X, of any baby born at City Central is...

The mean weight of a single newborn baby at City Central Hospital is 111.2 ounces with a standard deviation of 16.05 ounces. Let us assume that the weight, X, of any baby born at City Central is independent of the weight of any other baby born at City Central. We will not consider multiple births. City General expects 1111 babies to be born in 2022. Suppose we look at the weight of each newborn baby at City General in 2022. Let M be the random variable representing the mean weight of all the 1111 newborn babies expected. Let T = the random variable representing the total weight of all the 1111 newborn babies expected.

d) If TK is the total weight of the 1111 babies measured in pounds, then what is the standard deviation of TK?


e) What is the approximate probability that T is greater than 125000 ounces?


f) What is the standard deviation of M?