Question 4WTLBased on a study, the volume of a randomly selected large soda serving has an unknown distribution with amean of 29.7 oz and a standard deviation of 0.5 oz. Let X be the volume of a randomly selected large sodaserving 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 μ and o:X~ unknown(μ)29.7 σ 0.5and find the probability that the volume of a randomly selected large soda serving is between 30 and 30 oz.0.0000 x (Round the answer to 4 decimal places)2. Use the Central Limit Theoremonly answer the boxed one,0.0000 is wrongTTTthe sample size is large (n>30) although the distribution of the original population is unknownto describe the probability distribution of S and state its parameters us and σs: (Round the answers to 1decimal place)S ~IN(μs=1514., og = 3.6and find the probability that the total volume of a sample of 51 randomly selected large soda servings isbetween 1513 and 1523 oz.0.6704✓ (Round the answer to 4 decimal places)

There is a random variable that shows the volume of randomly selected large soda serving.The sample…

Answered: 1. Describe the probability…

MATLAB: An Introduction with Applications

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1. Describe the probability distribution of X and state its parameters μ and o: X~ unknown (μ = 29.7 and find the probability that the volume of a randomly selected large soda serving is between 30 and 30 oz. 0.0000 x (Round the answer to 4 decimal places) 2 Uso the Contral Limit Thoorom 0.5