A machine at Katz Steel Corporation makes3-inch-long nails. The probability distribution of the lengths of these nails is approximately normal with a mean of3inches and a standard deviation of0.10inch. The quality control inspector takes a sample of36nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than2.96inches or greater than3.04inches, the inspector concludes that the machine needs an adjustment. What is the probability that based on a sample of36nails, the inspector will conclude that the machine needs an adjustment?

Round your answer to 4 decimal places.