According to a recent national health statistic report the weight of male babies less than 2 months old is in the u. s is normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds a) what proportion of babies weigh less than 15 pounds b) what proportion of babies weigh between 13 and 15 pounds c) is it unusual for a baby to weigh more than 17 pounds

The mean pounds;

the standard deviation is pounds.

Let the variable be the weight of male babies less than 2 months old. It is normally distibuted with a law

Find the variable

that is normally distributed with a law

Part A.

If X=15 pounds, then

and

Part B.

If X=15 pounds, then

If X=13 pounds, then

and

Part C.

If X=17 pounds, then

and

This means that approximately 2% of babies are born with weight more than 17 pounds and, therefore, seems to be quite unusual for a baby.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.