The president of Doerman Distributors, Inc., believes that 33% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of first-time customers.

1. Assume that the president is correct andp= 0.33. What is the sampling distribution offor this study?SelectA normal distribution because np and n(1-p) are both greater than 5A normal distribution because np and n(1-p) are both less than 5A non normal distributionItem 1
2. What is the probability that the sample proportion will be between .26 and .40 (to 4 decimals)?
3. What is the probability that the sample proportion will be between .31 and .35 (to 4 decimals)?