Beer bottles are filled so that they contain an average of 275 ml of beer in eac

Question

Beer bottles are filled so that they contain an average of 275 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 5 ml. Use Table 1.

What is the probability that a randomly selected bottle will have less than 270 ml of beer? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

What is the probability that a randomly selected 6-pack of beer will have a mean amount less than 270 ml? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

What is the probability that a randomly selected 10-pack of beer will have a mean amount less than 270 ml? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

What is the probability that a randomly selected bottle will have less than 270 ml of beer? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

Explanation / Answer

a) P(bottle having less than 270 ml) = P(X<270) =0.15866

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