The distribution of weights for newborn babies is normally distributed with a mean of 2.9 kilograms and a standard deviation of 1.1 kilograms. Compute the following probabilities.
- What is the probability of a newborn baby weighing greater than 3.4 kilograms?
- For a random sample of 50 newborn babies, what is the probability that their average weight is greater than 3.4 kilograms?