Discuss the following:
Q1. If the probability of a skin diver in a certain community having untreated diabetes is 0.15, what is the probability that two totally unrelated skin diverse from the community do not have untreated diabetes? (Assume independence)
Q2. A shipment of 100 tires from the Apex Tire Corporation is known to contain 20 defective tires. Five tires are selected at random and each tire is replaced before the next tire is selected. What is the probability of getting at most two defective tires?
Q3. Ninety percent of the graduates of State University who apply to a particular medical school are admitted. This year six graduates from State University have applied for admission to the medical school. Find the probability that only four of them will be accepted.