A machine at Katz Steel Corporation makes 3 -inch-long nails. The probability distribution of the lengths of these nails is normal with a mean of 3 inches and a standard deviation of $.1$ inch. The quality control inspector takes a sample of 25 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than $2.95$ inches or greater than $3.05$ inches, the inspector concludes that the machine needs an adjustment. What is the probubility that based on a sample of 25 nails, the inspector will conclude that the machine needs an adjustment?