A business tax form is either filed on time or late, is either from a small or a large business, and is either accurate or inaccurate. There is an 1195 probability that a form is from a small business and is accurate and on time. There is a 13% probability that a form is from a small business and is accurate but is late. There is a 15% probability that a form is from a small business and is on time. There is a 21% probability that a form is from a small business and is inaccurate and is late.
(a) If a form is from a small business and is accurate, what is the probability that it was filed on time?
(b) What is the probability that a form is from a large business?