Riddle: it's 7: 00 am. a) you are asleep and there is a sudden knock on the door. b) behind the door are your parents who came to have breakfast. c) in your fridge are bread, milk (pasteurized), juice, and a jar of jam. to answer, what will you open first?

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.