Andy ate 3/4 cup of oatmeal on monday and 1/4 cup oatmeal on tuesday how much oatmeal did he eat on the 2days

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.