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  3. 2 basic properties of probability 30 points total human blood...

Question: 2 basic properties of probability 30 points total human blood...

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2. Basic Properties of Probability. (30 points total) Human blood can be classified into the four blood types A, B, AB, and O, where: A indicates that only the A antigen is present. . B indicates that only the B antigen is present. . AB indicates both the A and B antigens are present O indicates neither antigen is present Suppose that for a population in the US, the probability of having the blood types A, B, and O is estimated to be: Pr(A) 0.44, Pr(B) 0.08, and Pr(O) 0.45, respectively. (a) Calculate the probability that a person has both A and B antigens (i.e., blood type AB). Are the blood types, A, B, AB, and O mutually exclusive? b) Calculate the probability that a person does not have the A antigen (c) Calculate the probability that a person is either blood type A or blood type o. d) What is the probability that you and a classmate are both blood type O7

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