A machine at Keats Corporation fills 64-ounce detergent jugs.The probability distribution of the mount of detergent in thesejugs is normally distributed with a mean of 64 and standard ofdeviation of 0.4 ounces. The quality inspector takes a sample of 16jugs once a week and measures the amount of detergent in thesejugs. If the mean of this sample is either less than 63.75 ouncesor greater than 64.25 ounces, the inspector concludes that themachine needs an adjustment. What is the probability that based ona sample of 16 jugs the inspector will conclude that the machineneeds an adjustment?