Posted by Chad on .
Suppose that the weight of tomato juice in mechanically filled cans follows a normal distribution with a mean ƒÝ of 464 grams and a standard deviation ƒã of 8 grams. What proportion of cans contain between 454 and 474 grams of tomato juice?

Math 
Reiny,
the beauty of this applet is that you can enter the data values as is, without changing them to zscores.
http://davidmlane.com/hyperstat/z_table.html
Since these kind of questions require the use of tables anyway, I don't see the harm of using the above program directly.