QUESTION 8 The weight, in grams, of vacuum-packaged meat product is normally distributed with standard deviation of 10 grams. Find (a) the mean weight if 5% of a package contain less than 250 grams. (b) the percentage of package that contain more than 285 grams of meat product. The quality controller made adjustment in machine setting, so that the weights, in grams of package is normally distributed with mean 260 grams. (c) Given that 95% of package contain between 255 to 265 grams, find the standard deviation.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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QUESTION 8
The weight, in grams, of vacuum-packaged meat product is normally distributed with
standard deviation of 10 grams. Find
(a)
the mean weight if 5% of a package contain less than 250 grams.
(b)
the percentage of package that contain more than 285 grams of meat product.
The quality controller made adjustment in machine setting, so that the weights, in grams of
package is normally distributed with mean 260 grams.
(c)
Given that 95% of package contain between 255 to 265 grams, find the standard
deviation.
Transcribed Image Text:QUESTION 8 The weight, in grams, of vacuum-packaged meat product is normally distributed with standard deviation of 10 grams. Find (a) the mean weight if 5% of a package contain less than 250 grams. (b) the percentage of package that contain more than 285 grams of meat product. The quality controller made adjustment in machine setting, so that the weights, in grams of package is normally distributed with mean 260 grams. (c) Given that 95% of package contain between 255 to 265 grams, find the standard deviation.
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