In figure ab is divided into equal parts the coordinates of point a are (2,4) are (10,6) match each part of coordinate to the corresponding point on ab

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.