Seventy million pounds of trout are grown in the US 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 context for the sample is 30.5 grams per pound. Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 35 farm-raised trout. Carry your intermediate computations to at least 4 decimal places. Round your answer to at least 3 decimal places.