If the weight (in grams) of cereal in a box of Lucky Charms is N (470,3), what i
ID: 3050338 • Letter: I
Question
If the weight (in grams) of cereal in a box of Lucky Charms is N(470,3), what is the probability that the box will contain less than the advertised weight of 461g? Note: You may need to use Excel to calculate the exact probabilities. (Round your answer to 5 decimal places.)
If the weight (in grams) of cereal in a box of Lucky Charms is N(470,3), what is the probability that the box will contain less than the advertised weight of 461g? Note: You may need to use Excel to calculate the exact probabilities. (Round your answer to 5 decimal places.)
Explanation / Answer
we should use the excel function =NORM.DIST(x,mean,standard_dev,cumulative) to find the probability P(x<461) which follows normal distribution N(470,3)
=NORM.DIST(461,470,3,TRUE)=0.00135
Therefore,P(x<461)=0.00135