Homework 5 Questions - Statistical Process Control and Metrology | MEGR 3282, Assignments of Mechanical Engineering

Download Homework 5 Questions - Statistical Process Control and Metrology | MEGR 3282 and more Assignments Mechanical Engineering in PDF only on Docsity! MEGR 3282 Spring 2004 Assigned: February 16, 2004 Due: February 20, 2004 Homework #5 Chapter 3) Problems 17, 18, 20 and … Consider the following three part lengths (assume they're Normally distributed): Dimension Mean Standard Deviation Tolerance xA 0.75 0.020 0.75 ± 0.05 xB 0.51 0.015 0.50 ± 0.04 xC 1.01 0.025 1.00 ± 0.05 Assembly (xA+xB+xC) 2.25 ± 0.10 1. For each part (A, B, C) calculate the fraction of the population that meets the Tolerance specification. 2. Find the mean and standard deviation of the assembled dimension of a stack of parts – one taken at random from each of the A, B, and C populations. 3. If you took one part at random from each population, what is the probability that all three parts would meet their individual tolerance specification? 4. If you took one part at random from each population, what is the probability that the assembly of these three parts would meet the assembly tolerance?