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Please show all work A bottling company uses a filling machine to fill plastic bottles with a...

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Statistics

Please show all work

A bottling company uses a filling machine to fill plasticbottles with a popular cola. The bottles are supposed to contain300 milliliters (ml). In fact, the contents vary according to anormal distribution with mean µ=303 ml and standard deviation σ= 3ml

What is the probability that an individual bottle contains lessthan 300 ml?

What is the probability that the sample mean of 80 bottles isless than 300 ml?

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