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The Weights of Items Produced by a Company Are Normally

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The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ounces.
a.What is the probability that a randomly selected item from the production will weigh at least 4.14 ounces?
b.What percentage of the items weighs between 4.8 and 5.04 ounces?
c.Determine the minimum weight of the heaviest 5% of all items produced.
d.If 27,875 of the items of the entire production weigh at least 5.01 ounces, how many items have been produced?


Definitions:

Depreciation Expense

Systematically dividing the cost of a tangible asset over its estimated useful life.

Impairment Losses

Monetary losses identified when the book value of an asset is higher than its salvageable value.

Fair Value

An estimate of the price at which an asset or liability could be traded in a fair transaction between willing parties.

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