(7 points) The weights of American newborn babies follow a normal distribution with mean of 119.54 oz (about 7 pounds 8 ounces) and standard deviation of 0.6 oz. In a random sample of 11 newborn babies, the mean weight was calculated to be 119.2 oz. (a) Find the standard error of the sampling distribution. Round your answer to 4 decimal places. Answer. (b) Using your answer to part (a), what is the probability that in a random sample of 11 newborn babies, the mean weight is more than 120.03 oz? Round your answer to 4 decimal places. Answer.(7 points) The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with / = 9.4 inches and o = 1.5 inches. (a) Find the probability that the length of a chosen fish was greater than 11.4 inches: (b) Find the probability that the length of a chosen fish was between 8.4 and 11.4 inches: Remark: Round your answers to 4 decimal places. Note: You can earn partial credit on this