A box of 25 light bulbs is shipped to a hardware store. When it arrives, four of the bulbs are broken. Predict the number of broken light bulbs in an order of 125 bulbs?

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.