Three cylindrical parts are joined end to end to make up a shaft in a machine; 2 type A parts and 1 type B. The lengths of the parts vary a little, and have the distributions: A ~ N (6, .4) and B ~ N (35.2,.6). The overall length of the assembled shaft must lie between 46.8 and 47.5 or else the shaft has to be scrapped. Assume the lengths of different parts are independent. What percent of assembled shafts have to be scrapped?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 34E: The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the...
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Three cylindrical parts are joined end to end to make up a shaft in a machine; 2 type A
parts and 1 type B. The lengths of the parts vary a little, and have the distributions: A~ N (6, .4) and
B~ N (35.2, .6). The overall length of the assembled shaft must lie between 46.8 and 47.5 or else
the shaft has to be scrapped. Assume the lengths of different parts are independent. What percent of
assembled shafts have to be scrapped?
Transcribed Image Text:Three cylindrical parts are joined end to end to make up a shaft in a machine; 2 type A parts and 1 type B. The lengths of the parts vary a little, and have the distributions: A~ N (6, .4) and B~ N (35.2, .6). The overall length of the assembled shaft must lie between 46.8 and 47.5 or else the shaft has to be scrapped. Assume the lengths of different parts are independent. What percent of assembled shafts have to be scrapped?
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