statistics

8. Direction: Solve each problem completely. 1. The mean age of the children who will avail of the free medical and dental consultation in a medical mission is 7 with a standard deviation of 3.5. A random sample of 36 children in the participants list will be taken. What is the probability that the sample mean is less than 5 years? What is the probability that the sample mean is greater than 3 years? What is the probability that the sample mean is within six months of the population mean? If the sample size is increased to 50, what is the probability that the sample mean is within six months of the papuiation mean? e. What happen to the probability as you increase the sample size? 9-99"