2.[6 points total]Suppose birth weights of healthy babies in the United States in the last ten years are Normally distributed with a mean of 3420 grams and a standard deviation of 480 grams.

a. [4 points] You select a baby randomly from all the healthy babies born in the U.S. in the last ten years. Which is more likely:

i. Its weight is between 3300 and 3400 grams

ii. Its weight is between 3400 and 3500 grams

Explain your answer.

b. [2 points] You take a random sample of 50 heathy babies born in the U.S. in the last ten years. What is the probability the total weight of all these babies is less than 170,000 grams?