Pleаse nоte thаt this questiоn cоnsists of six pаrts. You may use MINITAB to find a final answer. However you MUST show all the mathematical work to get to the final answer. Just giving the answer without adequate work/explanation may result in zero for the question. IQ scores for a certain population of students are known to be approximately normal with mean 100 and standard deviation 15. 1. What is the probability that a randomly selected student will have an IQ greater than 110? 2. What is the probability that a randomly selected student will have an IQ score between 110 and 120? 3. If a gifted program will only admit students with an IQ score in the top 10%, what is the lowest IQ score which a student needs to be admitted? 4. Suppose you take a random sample of 36 students and calculate the sample mean IQ score. What is the distribution, mean and the standard deviation of the sampling distribution of sample mean? 5. What is the name of the theorem that tells you the sampling distribution of the sample mean? 6. What is the probability that the average IQ score of 36 randomly selected students is above 104?