(1 point) The lifetime of a certain type of TV tube has a normal distribution with a mean of 61 and a standard deviation of 4 months. What proportion of the tubes lasts between 57 and 60 months? Answer. % Note: Round your answer to 2 decimal places.(1 point) Use the following information for all parts of this problem. The mean weight of an American newborn baby is 119.54 oz (about 7 pounds 8 ounces) with a population standard deviation of 0.69 oz. In a random sample of 10 newborn babies, the mean weight was calculated to be 119.05 oz. Part 1: Find the standard error of the sampling distribution. Round your answer to 4 decimal places. Answer: 0.2182 Part 2: Using your answer to part 1, what is the probability that in a random sample of 10 newborn babies, the mean weight is more than 120 oz? Round your answer to 4 decimal places. Answer.(1 point) Use the following information for all parts of this problem. Cans of regular Coke are labeled as containing 12 oz. Statistics students weighed a sample of 8 randomly chosen cans, and found the sample mean weight to be 12.02 oz. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a population standard deviation of 0.13 oz. Part 1: Find the standard error of the sampling distribution. Round your answer to 4 decimal places. Answer. 0.0460 Part 2: Using the answer from part 1, find the probability that a sample of 8 cans will have a sample mean amount of at least 12.02 oz. Round your answer to 4 decimal places