1. Okay, to find :
Let X= the number of mL of water in a carton
This is given in the problem.
Take note that is the same as
Now standardize the distribution.
= (Taken from z-table)
Now, solve for and you should get
2. This is a simple binomial distribution:
X= the number of cartons containing more than 1,002 mL of water.
Hmm.. I now see that you gave the answers in parentheses. I don't understand why (1) is 0.674. It's approximately the same number I took from the z-table but the problem states that we're trying to find not . Pretty weird. Maybe someone can correct me on that.