Question

1. Two parts are assembled as shown in the Figure 1 below. The distribution of X? and X? are normal, with means ?? and ?? and standard deviations ?? = 0.4 and ?? = 0.3. Figure 1: Assembly of two parts (a) If it is desired that the probability of a clearance (i.e., x? - x?) less than 0.005 is 0.0003, find the average of clearance? (b) Based on your result in part (a), calculate the fraction of assemblies which fail to meet the specifications if the assembly is at random and given that the specifications of the clearance between the mating parts are 1.3 ± 1.2.

          1. Two parts are assembled as shown in the Figure 1 below. The distribution of X? and X? are normal, with means ?? and ?? and standard deviations ?? = 0.4 and ?? = 0.3.
Figure 1: Assembly of two parts
(a) If it is desired that the probability of a clearance (i.e., x? - x?) less than 0.005 is 0.0003, find the average of clearance?
(b) Based on your result in part (a), calculate the fraction of assemblies which fail to meet the specifications if the assembly is at random and given that the specifications of the clearance between the mating parts are 1.3 ± 1.2.

$1. Two parts are assembled as shown in the Figure 1 below. The distribution of X? and X? are normal, with means ?? and ?? and standard deviations ?? = 0.4 and ?? = 0.3. Figure 1: Assembly of two parts (a) If it is desired that the probability of a clearance (i.e., x? - x?) less than 0.005 is 0.0003, find the average of clearance? (b) Based on your result in part (a), calculate the fraction of assemblies which fail to meet the specifications if the assembly is at random and given that the specifications of the clearance between the mating parts are 1.3 ± 1.2.$

Added by Michael J.

Question

Please give Ace some feedback