You are in charge of storage at a winery. A 60 gallon barrel of wine weighs on average 120 lbs with a standard deviationof 6 lbs. One gallon of wine weighs about 8 lbs with a standard deviation of .40 lbs. You store barrels on shelves on your property.
a. What is the expected meanand standard deviation of the weight of 10 full barrels of wine?
b. You want to store 10 barrels on a shelf. Shelves have weight limits, which represent the maximum weight limit they can safely hold. What is the smallest maximum weight limit that the shelf must be able to carry such that the probabilitythat the 10 barrels will exceed the weight limit is no more than 0.00135? Round up to the nearest pound.
Provides steps necessary to determine mean and standard deviation.