Inference : Means Normal Distribution and T Distribution Organic Carrots I 2. Organic carrots are becoming more popular in U.S. exports. The distribution of the lengths of carrots has been found in the passed, and thus assumed, to be Normally Distributed with a mean u =13 and o = 2 inches. If a randomly selected carrot is measured, a) what is the probability that it is as least 11.4 inches long? b) what is the probability that it is between 10.5 and 13.5 inches long