The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time...

The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers.  A random sample of 100 orders will be used to estimate the proportion of first-time customers.  What is the probability that the sample proportion will be within .05?