The weights of boxes of rice produced at a factory are normally distributed with a mean of 24 oz and a standard deviation of 1.3 oz. Consider a shipment of 1200 boxes of rice. How many of the boxes will weigh 25 oz or less?

Question

Mathematics

Jairo Chen

20 February, 03:02

The weights of boxes of rice produced at a factory are normally distributed with a mean of 24 oz and a standard deviation of 1.3 oz. Consider a shipment of 1200 boxes of rice. How many of the boxes will weigh 25 oz or less?

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Answers (1)

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Sophie Chapman · Answer 1

Z - score:

z = X - Mean / Standard deviation

z = (25 - 24) / 1.3 = 1/1.3 = 0.7692

After that we will use the table for Normal Distribution:

z (0.7692) = 0.779

0.779 * 1,200 = 935

Answer: 935 boxes will weigh 25 oz or less.