1. Couples who are having difficulty conceiving children are increasingly turning to in-vitro fertilization (IVF) treatment. A patient undergoes 1 month of initial screening appointments, then with 50% probability commences with a sequence of IVF treatment cycles. Each treatment cycle takes 2 months, and may or may not result in a successful pregnancy. It is estimated that among patients who go through the first cycle, 30% do not return for a second cycle (because of a successful pregnancy on the first try, financial limitations, personal reasons, etc.) Of those who do return for a second cycle, they undergo on average 1.5 more cycles (in addition to the first cycle). A local fertility center sees two new patients per business day on average. Assume 20 business days per month. (a) [3) What fraction of the local center's active patients are in their first treatment cycle? (An active patient is defined as a patient in the initial screening phase or any treatment cycle.) (b) [2] Patients pay $10,000 per treatment cycle. The initial screening appointments are not charged. What are the annual IVF revenues of the fertility center