A candy company packages jelly beans according to the following distribution; N(4,0.5)^2 What percent of candy bags will weigh 3.5 to 4.5 grams

Question

Really need an answer for this question given as soon as possible, i have an exam coming up shortly and i dont know the answer to this

Answer 1

Within 1 standard deviation, candy bags can weight between 3.5 and 4.5 grams.  I use the 68-95-99.7 rule for finding out the percentage of candy bags in the normal distribution.

 

1 standard deviation = 68%

2 standard deviations = 95%

3 standard deviations = 99.7%

 

In this case, 68% of the candy bags will weight between 3.5 and 4.5 grams.