The weights of the population of cans of Coke are normally distributed with a mean of 12 oz and a population standard deviation of 0.13 oz. A sample of 7 cans is randomly selected from the population.

(a) Find the standard error of the sampling distribution. Round your answer to 4 decimal places.

(b) Using the answer from part (a), find the probability that a sample of 7 cans will have a sample mean amount of at least 12.02 oz. Round your answer to 4 decimal places.

(c) Using the answer from part (a), find the probability that a sample of 7 cans will have a sample mean weight between 11.99 oz and 12.03 oz. Round your answer to 4 decimal places.