1. CBC: I was listening to CBC radio as I drove to work the other day. They were speaking about results of a recent survey of 2000 people from a population who owned five major appliances (fridge, oven, dishwasher, washer and dryer). Apparently only 300 of the people they contacted actually responded, but among them, 80% claimed that major appliances 'these days' do not last as long as they used to, nor do they last as long as the 10 year average that appliance manufacturers' association claimed.

Suppose that appliances actually last, on average 10 years, as the manufactures' association claims. Assume that the lifespan has an approximately normal distribution with standard deviation of 3 years. What percentage of the survey population should have experienced a major appliance failure in fewer than 4 years?