Birth weights in California are normally distributed with a mean of 3,600 grams and a standard deviation of 500 grams. For the following questions, babies / newborns refer to those in California.

(Draw normal distribution curve, Put the labels of mean and cutoff points and Shade the appropriate curve, If the question give you the cutoff points and asks you for the area; clearly show how you computed the z score of the cutoff points; if you're able to to read area from table then just write it down please clearly write what you are doing)

A. Babies born with a weight under 2500 grams are considered underweight. What percentage of all newborns are underweight?

B. Find the probability that a baby is born with a birth between 3000 grams and 4000 grams.

C. A baby may be called "large for gestational age" if his/her weight is in the top 3% among the weights of all newborns. what is the weight above which a baby will be called "Large for gestational age"? (round the nearest whole number).