Two parts are assembled as shown in the figure below. Assume that the dimensions x andy are normally distributed with means µ¸ and µ¸ and standard deviations σx = 0.4 andoy = 0.3 respectively. The parts are produced on different machines and are assembled atrandom.(a) If it is desired that the probability of the clearance (i.e., x - y) smaller than 0.09 should be0.006, (i.e. Pr{(x-y)<0.09} = 0.006) What value of (x − μy) should be specified?-(b) Based on the results (x-µy) obtained in (a), calculate the probability that theclearance is greater than 0.

Answered: Two parts are assembled as shown in the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Two parts are assembled as shown in the figure below. Assume that the dimensions x and
y are normally distributed with means µ¸ and µ¸ and standard deviations σx = 0.4 and
oy = 0.3 respectively. The parts are produced on different machines and are assembled at
random.
(a) If it is desired that the probability of the clearance (i.e., x - y) smaller than 0.09 should be
0.006, (i.e. Pr{(x-y)<0.09} = 0.006) What value of (x − μy) should be specified?
-
(b) Based on the results (x-µy) obtained in (a), calculate the probability that the
clearance is greater than 0.

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Given data,

standard deviations

$sigma subscript x equals 0.4 sigma subscript y equals 0.3 a right parenthesis space P left square bracket left parenthesis x minus y right parenthesis less than 0.09 right square bracket equals 0.006 f i n d v a l u e space o f space mu subscript x minus mu subscript y b right parenthesis space f i n d p r o b a b i l i t y space t h a t space t h e space c l e a r a n c e space i s space g r e a t e r space t h a n space 0$

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