In a paper manufacturing company, a machine is used to press wet fiber web into a continuous roll of paper. This machine does not create a constant pressure on wet fiber web and final sheets of papers have different thickness which is uniformly distributed between 0.004 and 0.015 inch. Let X denote the thickness of the sheet of paper. Determine the following: a. Mean and variance for thickness of each paper sheet. b. Proportion of paper sheets which are less than 0.0095 inch thick. c. Thickness exceeded by 40 percent of the paper sheets.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
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In a paper manufacturing company, a machine is used to press wet fiber web into a
continuous roll of paper. This machine does not create a constant pressure on wet fiber web
and final sheets of papers have different thickness which is uniformly distributed between
0.004 and 0.015 inch. Let X denote the thickness of the sheet of paper. Determine the
following:
a. Mean and variance for thickness of each paper sheet.
b. Proportion of paper sheets which are less than 0.0095 inch thick.
c. Thickness exceeded by 40 percent of the paper sheets.
Transcribed Image Text:In a paper manufacturing company, a machine is used to press wet fiber web into a continuous roll of paper. This machine does not create a constant pressure on wet fiber web and final sheets of papers have different thickness which is uniformly distributed between 0.004 and 0.015 inch. Let X denote the thickness of the sheet of paper. Determine the following: a. Mean and variance for thickness of each paper sheet. b. Proportion of paper sheets which are less than 0.0095 inch thick. c. Thickness exceeded by 40 percent of the paper sheets.
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