1. a) Birthweights in Norway are normally distributed with a mean of 3570 g and a standard deviation of 500 g. If a hospital plans to set up special observation conditions for the lightest 3% of babies, what weight is used for the cut-off separating the lightest 3% from the others?

b) Cans of a popular soft drink are filled so that the actual amounts have a mean of 15.00 oz and a standard deviation of 0.9 oz. Find the probability that a sample of 40 cans will have a mean amount of at least 15.4 oz?