Question
The output voltage of a power supply is normally distributed with mean 10V and standard deviation 0.04 V.
The lower and upper specification for voltage are 9.95V and 10.05 V respectively.
a. What is the probability that a power supply selected at random will conform to the specifications on voltage? Suppose we want to improve the process.
b. Can shifting the mean reduce the number of nonconforming units produced? Explain your answer.
c. How much would the process variability need to be reduced in order to have all but one out of 1,000 units conform to the specifications?