Problem 6.2 One of the common symptoms of Alzheimer's disease is the memory loss that disrupts daily life. This is just one of the 10 warning signs of Alzheimer's disease. Another frequently encountered sign consists in having difficulty to complete familiar tasks. In a large group of early stage Alzheimer patients, 85% of them experience memory loss, 78% have difficulty completing familiar tasks and 67% show both signs. (a) What is the probability that an early stage Alzheimer patient shows one of these signs? (b) What is the probability that an early stage Alzheimer patient does not show any of these two signs? Problem 6.6 A lab has a population of 25 fruit flies, of which 5 are black and 20 are grey. A sample of 2 flies is selected. Is the fact that the second selected fly is black independent of the first one being black? (b) Suppose now that there are 10,000 flies in the lab, of which 2,000 are black and 8,000 are grey. A sample of 2 flies is selected. Is the fact that the second selected fly is black independent of the first one being black