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In a Manufacturing Process,a Machine Produces Bolts That Have an Average

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In a manufacturing process,a machine produces bolts that have an average length of 3 inches with a variance of .03.If we randomly select three bolts from this process,What is the probability the mean length of the bolt is at least 3.16 inches?


Definitions:

Upper Mantle

The layer of the Earth located beneath the crust and above the lower mantle, extending from depths of about 35 to 410 kilometers.

Continental Crust

The thick part of the Earth's crust that forms the large landmasses. It is generally older and more complex than oceanic crust.

Basalt

A fine-grained, dark-colored mafic igneous rock, with or without vesicles and phenocrysts of pyroxene, olivine, or feldspar.

Dark Lava Rock

Often basalt, this is a type of volcanic rock that is rich in iron and magnesium, giving it a dark coloration.

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