Question: PART 1 (40% of total score) Problem 1 (a) Random events A and B are independent, P(A) = 2/3, P(B) = 1/2. Find P(A

PART 1 (40% of total score) Problem 1 (a) Random events A and B are independent, P(A) = 2/3, P(B) = 1/2. Find P(A \\ B). (b) Five coins are flipped. What is the probability that there will be exactly 3 heads? Write your answer as a number in decimal form. (c) With regard to a particular gene, the percentages of genotypes AA, Aa, and aa in a particular population are 60%, 30%, and 10%, respectively. The percentages of these genotypes that contract a certain disease are 5% (AA), 10% (Aa), and 20% (aa), respectively. If a person contracts the disease, what is the probability that the person is of genotype AA

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