stats and prob

1. As most people know, hobbits enjoy their beer. (Recall how thrilled Pippin was to discover that this was served in pints at the Inn of the Prancing Pony. ) Suppose that The Prancing Pony received a shipment of beer barrels whose alcohol content was normally distributed with mean 5% and standard deviation 0.3%. (a) What is the probability that a selected barrel of beer had alcohol content at least 5.4%? (b) What is the probability that four randomly selected barrels of beer had average alcohol content at least 5.4%