Question 13 The volume of soft drink in plastic bottles is a normal random variable with mean 16 ounces and standard deviation 0.1 ounces. (a) If a bottle is selected at random, find the probability that it contains more than 15.3 ounces of soft drink. (Round your answer to four decimal places.) (b) A random sample of 25 bottles is selected from a large quantity of filled bottles. According to the Central Limit theorem, i. What is the mean of the distribution of sample means? ounces ii. What is the standard deviation of the distribution of sample means? (Round your answer to two decimal places) ounces (c) Find the probability that the mean volume of soft drink in the 25 sampled bottles is less than 15.3 ounces (Round your answer to three decimal places) (d) Find the probability that the mean volume of soft drink in the 25 sampled bottles is more than 15.9 ounces. (Round your answer to three decimal places)