1. Given an infinite population with a mean of 75 and a standard deviation of 12, the probability that the mean of a sample of 36 observations taken at random from this population exceeds 78 is?
2. A producer of a juice drink advertises that it contains 10% real fruite juices. A sample fo 75 bottles of the drink is analyzed and the percent of real fruit juices is found to be 6.5%. if the true proportion is actually 0.10, what is the probability that the sample percent will be 6.5% or less?