O RANDOM VARIABLES AND DISTRIBUTIONS Ad . V . . ' rIanne Central lImIt theorem: Sample mean :ll:ll:ll:ll:) 0/5 v Seventy million pounds of trout are grown in the US. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound. A random sampl_e of 36 farm-raised trout is selected. The mean fat content for the sample is 29.7 grams per pound. Find the probability of observing a sample mean of 29.7 grams of fat per pound or less in a random sample of 36 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. HEM