Problem: The Alvin Secretarial Service procures temporary office personnel for major corporations. They have found that 90% of their invoices are paid within 10 working days. If a random sample of 12 invoices is selected:
Required:
Question 1: What is the probability that all of the invoices will be paid within 10 working days?
Question 2: What is the probability that fewer than 3 of the invoices will be paid within 10 working days?
Provide justifications and citations for your responses.