The weights of emperor penguin (Aptenodytes forsteri) eggs are normally distributed with a mean of 442 grams and a standard deviation of 32 grams. If you randomly select 8 emperor penguin eggs, what...

Extracted text: The weights of emperor penguin (Aptenodytes forsteri) eggs are normally distributed with a mean of 442 grams and a standard deviation of 32 grams. If you randomly select 8 emperor penguin eggs, what is the probability that their mean weight will be more than 460 grams? Round to 3 decimal places (answers within +/- 0.01 will get full credit).