SOLUTION: The weight of food packed in a certain container is normally distributed with a mean of 500 grams and a standard deviation of 5 grams. A random sample of 35 containers is selected
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Question 867942: The weight of food packed in a certain container is normally distributed with a mean of 500 grams and a standard deviation of 5 grams. A random sample of 35 containers is selected and the weight of food in each is measured. The expected number of containers in the sample with less than 498 grams of food is:
A) 12 B) 5 C) 15 D) 6 E) 8
How is it 12? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The weight of food packed in a certain container is normally distributed with a mean of 500 grams and a standard deviation of 5 grams.
A random sample of 35 containers is selected and the weight of food in each is measured. The expected number of containers in the sample with less than 498 grams of food is:
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z(498) = (498-500)/(5) = -0.4
P(x < 498) + P(z < -0.4) = 0.3446
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Expected # = np = 0.3446*35 = 12.06
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Cheers,
Stan H.
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