1. A machine Produces bolts with an average diameter of 0.35 in. And a standard deviation of 0.02 in. With results That are normally distributed. If 25 bolts are randomly selected for the machine line and the sample mean diameter was found to just be over 0.356. What is the probability that this sample would be at least 0.356? What would you conclude about the machine? 2. Based on data from the national health board , weights of men are normally distributed with a mean of 178 lbs, and a standard deviation of 26 lbs. Find the probability that 20 randomly selected men will have a mean weight between 170 and 185. Please show work. Thank you