The general manager of a distributor business believes that 30% of the firm's orders come from new or first-time customers.

The general manager of a distributor business believes that 30% of the firm's orders come from new or first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of new or first-time customers. Find the probability that the sample proportion will be between 0.22 and 0.40