A Manufacturing Process Produces Items Whose Weights Are Normally Distributed

question 52

Essay

A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produced weigh between 100 grams up to the mean and 49.18% weigh from the mean up to 190 grams. Determine the mean and standard deviation.

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Definitions:

Global Climate

The long-term pattern of weather conditions across the entire Earth, including temperature, precipitation, and wind patterns.

Continents

Large, continuous areas of land on Earth, of which there are conventionally seven.

Landscape

The visible features of an area of land, including physical elements such as landforms, living elements, and human elements like structures.

Granite

A coarse-grained, felsic igneous rock containing mostly feldspar and quartz.