On average, 30% of coffee consumers order decaf coffee. Suppose you record the preferences of the next 10 customers. Let X represent the number of customers who order a decaf.

1. What is a suitable probability distribution model in this case? Explain your choice. Create the table for this distribution and construct a histogram (g-sheets).
2. Determine the expected value of decaf orders.
3. Find the probability that none of the customers will order a decaf.
4. Find the probability that more than four customers will order a decaf.