The weather forecast for January is a snowy one! At midnight there are 80 cubic feet of snow on Jennifer’s driveway. Snow accumulates at a rate of 50 cubic feet per hour. At 6 AM, Jennifer wakes up and starts shoveling. Will she be able to make it out of her driveway in time?

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.