Weights of parts are normally distributed with varianceσ2. measurement error is normally distributedwith mean zero and variance 0.5σ2, independent ofthe part weights, and adds to the part weight. Upper andlower specifications are centered at 3σ about the processmean.
a) Without measurement error, what is the probability that apart does not meet the specifications
b) Without measurement error, what is the probability that apart is measured as beyond specifications? Does this imply itis truly beyond specifications?
1 answer