A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 10.3 inches and standard deviation of 1.2 inches. If a sample of 50 items are...

A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 10.3 inches and standard deviation of 1.2 inches. If a sample of 50 items are chosen at random, what is the probability the sample's mean length is greater than 10.1 inches?Round answer to four decimal places.