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The Weights (lbs.) of items produced by a factory are Normally Distributed with mean 215 and...

The Weights (lbs.) of items produced by a factory are Normally Distributed with mean 215 and standard deviation 8.

a) Compute the probability that an item randomly selected from the factory’s warehouse weighs:

i) At least 225 lbs.

ii) At most 225 lbs.

iii) Between 200 and 210 lbs.

b) Previous history suggests that 2% and 5% of the company’s products are overweight and underweight respectively. Calculate

i) The minimum weight of an overweight item

ii) The maximum weight of an underweight item.

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