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 3347 grams and a standard deviation of 590 grams.

What is the probability that the mean weight of 16 randomly selected babies is between 3100 grams and 3600 grams? Round the answer to 4 decimal places.