Please solve all parts

a] Suppose that the statistical quality control analysis in a certain manufacturing process uses a quality characteristic that is normally distributed with known parameters. The stability of the manulacturing process is monitored by analyzing regular measurements on the nudity characteristic. Consider the operating characteristic curve for an Kibar chart. Suppose that the in control mean pinto another value A such that y. = pa +tc. where k is positive real number. i} Define what a shift in parameter. the mean or 1tirariance for example, implies on the status ot a process. [2} it} What is the role of the operating characteristic curve of an X-bar and R control charts? (2) iii} What does the beta risk measure? iv} Write down the expression that sewes to estimate the beta-risk tor a three- sigma Xbar control chart (2}