A maker of a certain brand of low-fat cereal bars claim that their average saturated content is 0.5 gram. In a random sample of 8 cereal bars of this brand the saturated fat content was 0.6, 0.7, 0.7, 0.3, 0.4, 0.5, 0.4 and 0.2. Assuming a normal distribution, find the probability that the average saturated content would be less for the random sample of cereal bars.