1. An advertising company routinely sends a survey to TV viewers to determine their opinion of the commercials it produces based on a scale of 0 – 10. The mean rating (m) on this survey over the past decade is 7.4 and the standard deviation (?) is 2.2. If the company sends the survey to a sample of 100 viewers, what is the probability that the mean of this sample will be less than 7.0?
2. A manufacturing process produces products that are defective 4% of the time. If samples are taken of 15 products at a time, what is the probability that in a given sample there will be 5 defective parts?