1. Use the following scenario to answer the next 3 questions. Historically, 93% of the deliveries of an overnight mail service arrive before 10:30 the following morning. Random samples of 500 deliveries are selected. So we have a "historic" (read: population) proportion of p = .93.
2. What proportion of the samples will have between 93% and 95% of the deliveries arriving before 10:30 the following morning? 
3. What proportion of the samples will have more than 95% of the deliveries arriving before 10:30 the following morning?
4. What is the proportion of the samples will have less than 90% of the deliveries arriving before 10:30 the following morning?