Need on an algebra 2 test anyone really good ?

Can someone me my sister? she is in third grade. 50 points and brainlist! ones that are not answered. plz and thx!

When the ball has traveled a distance of

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.