The weight of the eggs produced by a certain breed of hen is normally distributed with mean 64.8 grams (g) and standard deviation 5.

The weight of the eggs produced by a certain breed of hen is normally distributed with mean 64.8 grams (g) and standard deviation 5.8 g. If cartons of such eggs can be considered to be SRSs of size 12 from the population of all eggs, what is the probability that the weight of a carton falls between 775 g and 825 g? (Round your answer to four decimal places.)