Discuss the below:
Q1 A mechatornic assembly is subjected to a final functional test. Suppose that defects occur at random in these assemblies, and that defects occur according to a Poisson distribution with parameter = 0.02
a) What is the probability that an assembly will have exactly one defect?
b) What is the probability that an assembly will have one or more defects?
c) Suppose that you improve the process so that the occurrence rate of defects is cut in half to = 0.01. What effect does this have on the probability that an assembly will have one or more defects?
Q2 A lot of size n = 30 contains three noncoforming units. What is the probability that a sample of five units selected at random contains exactly one nonconforming unit? What is the probability that it contains one or more nonconformances?
Q3 The tensile strength of a metal part is normally distributed with mean 40 lb and standard deviation 8 lb. If 50,000 parts are produced, how many would fail to meet a minimum specification limit of 34-lb tensile strength? How many would have a tensile strength in excess of 48 lb?
Q4 The life of an automotive batter is normally distributed with mean 900 days and standard deviation 35 days. What fraction of these batteries would be expected to survive beyond 1000 days?