If the weight in grams of cereal in a box of Lucky Charms is

If the weight (in grams) of cereal in a box of Lucky Charms is N(490,6), what is the probability that the box will contain less than the advertised weight of 468 gm? Note: You may need to use Excel to calculate the exact probabilities. (Round your answer to 5 decimal places.)

Solution

P( X < 468)

= P( Z < (468 - 490)/6))

= P( Z < -3.66667)

= 0.00010