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The label on a bottle of liquid detergent shows the contents to be 12 grams per...

The label on a bottle of liquid detergent shows the contents to be 12 grams per bottle. The production operation fills the bottle uniformly according to the following probability density function: f(x) = { 8 11:975 < x < 12:100 0 elsewhere where x denotes the grams the bottle will be filled. a) What is the expected value and the standard deviation of X? ( b) What is the probability that a bottle will be filled with between 12 and 12.05 grams? ( c) What is the probability that a bottle will be filled with 12.02 or more grams? ( d) Quality control accepts a bottle that is filled to within 0.02 grams of the number of grams shown on the container label. What is the probability that a bottle of this liquid detergent will fail to meet the quality control standard?

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orchestra answered 1 year ago
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