Two parts are assembled as shown in the figure below. Assume that the dimensions x and y are normally distributed with means µx and µy and standard deviations x = 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.

Two parts are assembled as shown in the figure below. Assume that the dimensions x and y are normally distributed with means µx and µy and standard deviations x = 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.

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.5P: The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen...

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