1) The average age of students upon graduation from Fullerton University is H = 25 years. Assuming that the distribution of ages is normal with a standard deviation of O = 3 years: A) What proportion of students graduate when they are 30 or older? B) What proportion of students graduate at 21 and younger)? 2) Five salespersons from the Chicago office of an insurance company receive feedback on their yearly sales. The mean number of yearly sales for employees at the Chicago office is H = 105 with a standard deviation of O = 10. However, they receive their yearly sales numbers in z-scores, and want to translate them into their actual number of sales. Find the raw number of sales for the five salespersons: z = -1.30 Z =.80 z = 2.00 z = 1.40 z= -.60 3) The distribution of IQ test scores is normal with a mean of H = 100 and a standard deviation of O = 15. A) What proportion of the population have IQ scores greater than 90? B) What proportion of the population have IQ scores greater than 105? C) A government agency only accepts applicants who score in the top 25% of the IQ score distribution. What is the minimum IQ score needed to apply? D) What IQ scores define the middle 20% of the IQ distribution? (Hint: draw it out first)