Provide working note Options 0.63, 0.22, 0.38, 0.98

NS Iron Products (NSIP) supplies 5-inch diameter iron pipes to its customers. Their production process is such that the average diameter () is 5 inches with a standard deviation (o) of 0.8 inches. The Quality Assurance Department takes a random sample of 64 pipes and calculates the average diameter of these pipes. Whenever the sample average falls below 4.77 inches or goes above 5.23, an immediate root cause analysis investigation is initiated. 2. On May 21st, an operator set one of the machines wrongly, and as a result, the mean (u) shifted upwards by 0.2 inches, even though there was no change in standard deviation (o). This was not noticed by the Quality Assurance department. What is the probability that the Quality Assurance Department will initiate a root cause analysis investigation