A dishwasher has a mean lifetime of 12 years with an estimated standard deviation of 1.25 years. The lifetime of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 22 dishwashers that you made. Find the probability that the sample mean lifetime of the 22 randomly selected dishwashers is less than 11.7 years. Round final answer to 4 decimal places. DO NOT use the rounded standard deviation from part e in this computation. Use the EXACT value of the standard deviation with the square root