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~binomial(n=3,p=0.25)

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.