Problem 1: Suppose a college says it admits only people with SAT math test score among the top 15%. Suppose that SAT math test scores follows the normal distribution with mean 100 and standard deviation of 20. How high a score does it take to be eligible? If college admits student top 20%, how high a score does it take to be eligible?

Problem 2: The Virginia Cooperation Extension reports that the mean weight of yearling Angus steers is 1152 pounds. Suppose that weight of all such animals can be described by a Normal model with a standard deviation of 84 pounds. What % of the steer weigh

1. Over 1250 pounds
2. Under 1200 pounds
3. Between 1000 and 1100 pounds.