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A bottler of soft drinks packages cans in six-packs. Suppose that the fill per can has...

A bottler of soft drinks packages cans in six-packs. Suppose that the fill per can has an approximate normal distribution with a mean of 11 fluid ounces and a standard deviation of 0.3 fluid ounces.

(a)

What is the distribution of the total fill for a case of 24 cans? (Round your standard deviation to four decimal places.)

mean standard deviation

(b)

What is the probability that the total fill for a case is less than 261 fluid ounces? (Round your answer to four decimal places.)

(c)

If a six-pack of soda can be considered a random sample of size

n = 6

from the population, what is the probability that the average fill per can for a six-pack of soda is less than 10.6 fluid ounces? (Round your answer to four decimal places.)


Math   Statistics-And-Probability   
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