=1 O RANDOM VARIABLES AND DISTRIBUTIONS Central limit theorem: Sample mean V 0/5 Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average (mean) of 32 grams of fat per pound, with a standard deviation of 8 grams of fat per pound. A random sample of 35 farm-raised trout is selected. The mean fat content for the sample is 31.1 grams per pound. Find the probability of observing a sample mean of 31.1 grams of fat per pound or less in a random sample of 35 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.