1. Suppose there are 1885 players in Major League Baseball and 55% of these players have college degrees. If you select a simple random sample of 90 players, what is the probability that between 45% and 70% of the sample players will have a college degree?.
2. An Internet retailer wants to sample its customer base to determine the percentage who are married with children. How many customers should they survey if they want to have 98% confidence and be within 3% of the true population proportion?
3. The average weight of football players on a team has been computed to be 235.5 pounds with a standard deviation of 30.5 pounds. What is the probability that a random sample of 100 players will weigh more than 24,000 pounds?