Question

At Walmart, plastic bags are manufactured so that breaking strength is normally distributed with a mean of 4kg and std. deviation of 0.7kg. Packaging staffs are trained so that the maximum weight in any bag does not exceed 3kg.
 
 
a. Walmart accepts only 5% breakage in the plastic bags. Is the current plastic bag acceptable to Walmart?
 
 
b. What percentage of customers can be expected to experience a break in plastic bag if the packaging staffs are instructed to load more than 3.5 kg?
 
 
c. If there are 200 bags in a box, how many plastic bags will be able to stand a load between 2kg and 5kg?

d. If Walmart wants to ensure that that no more than 5% of the plastic bags will break, what would be the maximum weight the packaging staffs are instructed to load?
 
 
e. If Walmart wants to use the new type of plastic bags such that no more than 3% of them will break, calculate the mean breaking strength of the new plastic bag if the standard deviation of the new plastic bags is also 0.7kg.

Answer 1

@vocaloid

Answer 2

Voca can't help if you are gone :P