**!! TTT Based on a study, the volume of a randomly selected large soda serving has an unknown distribution with a mean of 29.7 oz and a standard deviation of 0.5 oz. Let X be the volume of a randomly selected large so serving and let S be the total volume of a random sample of size 51. 1. Describe the probability distribution of X and state its parameters and σ: (= X~ Select an answer Select an answer X² N B unknown and find the probability that the volume of a randomly selected large soda serving is between 30 and 30 o (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer Select an answer the sample size is large (n>30) although the distribution of the original population is unknown the original population is normally distributed the sample size is small (n<30) and the distribution of the original population is unknown the distribution of the original population is unknown to describe the probability distribution of S and state its parameters μg and og: (Round the answers to 1 decimal place) S~ Select an answer (s= Select an answer σs= B unknown and find the probability that the total volume of a sample of 51 randomly selected large soda servings is between 1513 and 1523 oz. (Round the answer to 4 decimal places)

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