USE 3 DECIMAL AFTER THE PERIOD, i.e.: 3.568) A production process, in statistical control, operates with 0.016 nonconforming units produced. The quality technician applies a very simple rule to interrupt the process: -Every hour take a sample of 38 units of product, and count the number of nonconforming units. If 2 or more nonconforming units are found, stop the process and search for an assignable cause. a. Calculate the probability of stopping the process when actually there is nothing wrong (do not try to calculate control limits, it is not required). Probability= b. Assume nonconforming probability has shifted to 0.116. Calculate the probability of not detecting the shift in the first sample. Probability= c. Calculate the probability of detecting the shift in part (b) not before the third sample (probability of detecting the shift at 3rd, 4th, 5th, ... samples). Probability= d. On average, how many sample would be taken until the shift in part (b) is detected? Number of expected samples=