According to the article "Are Babies Normal?" by Traci Clemons and Marcello Pagano published in The American Statistician, Vol. 53, No. 4, pp. 298-302, the birth weights of babies are normally distributed with a mean of 3358 grams and a standard deviation of 560 grams.
1. What is the probability that a randomly selected baby weighs between 3000 grams and 3500 grams? Round your answer to 4 decimal places.
2. What is the probability that the average weight of 13 randomly selected babies is between 3000 grams and 3500 grams? Round your answer to 4 decimal places.