1) Based on historical data, your manager believes that 33% of the company's orders come from first-time customers. A random sample of 125 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.32?
2) Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 109 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.35 and 0.49?