About two decades ago, estimates of the prevalence of Alzheimer's disease have been provided by Preffer et al. (1987). Complete the table with scrambled data as given below: Age group 65-69 70-74 75-79 80-84 85+.. Prevalence of Alzheimer's disease (cases per 100 population) Males DGC +5 DGC DGC +1 DGC DGC +20 +1.6= +0.0=. +4.9= DGC DGC +35 DGC DGC +25 DGC +8.6= +35.0= DGC +1 DGC DGC +15 Females +0.0= DGC DGC + 20 DGC DGC +30 DGC DGC +25 DGC +2.2= +2.3= +7.8= +27.9= ********** (1) Suppose an unrelated 77-year-old man, 76-year-old-woman, and 82-year-old woman are selected from the community. (a) What is the probability that all three of these individuals have Alzheimer's disease? (b) What is the probability that at least one of the women has Alzheimer's disease? (c) What is the probability that at least one of the three people has Alzheimer's disease? (d) What is the probability that exactly one of the three people has Alzheimer's disease? (e) Suppose we know that one of the three people has Alzheimer's disease, but we do not know which one. What is the conditional probability that the affected person is a woman? (f) Suppose we know two of the three people have Alzheimer's disease. What is the conditional probability that they are both women? (g) Suppose we know two of the three people have Alzheimer's disease. What is the conditional probability that they are both less than 80 years old? C C (II) Suppose the probability that both members of a married couple will have the disease, where DGC each member is 75-79 years old, is DGC +10000 (a) What is the conditional probability that the man will be affected given that the woman is affected? (b) What is the conditional probability that the woman will be affected given the man is affected? (c) What is the probability that at least one member of the couple is affected?