The American Red Cross must track their supply and demand for various blood type
ID: 3224841 • Letter: T
Question
The American Red Cross must track their supply and demand for various blood types. They estimate that about 45% of the U.S. population has Type O blood, 40% Type A, 11% Type B, and the rest Type AB a) If you examine one donor, are the events of the donor being Type B and the donor being Type O disjo nt or independent or neither? Explain your answer. b) If you examine two donors, are the events that the first dono is Type B and the second donor is Type O disjoint or independent or neither? c) Can disjoint events ever be independent? Explain a) For the donor, are the events disjoint or independent or neither? O A. The events are neither disjoint nor independent because they are dependent events O B. The events are independent because one person having type B blood does not indicate anything about another person having type O blood, and vice versa O C. The events are disjoint because one person having type B blood does not indicate anything about another person having type O blood, and vice versa C D. The events are disjoint because if a person has type B blood, that same person cannot also have type O blood, and vice versa O E. The events are independent because if a person has type B blood, that same person cannot also have type O blood, and vice versa b) For the two donors, are the events disjoint or independent or neither? O A. The events are disjoint because if a person has type B blood, that same person cannot also have type O blood, and vice versa O B. The events are neither disjoint nor independent because they are dependent events. O C. The events are disjoint because one person having type B blood does not indicate anything about another person having type O blood, and vice versa O D. The events are independent because one person having type B blood does not indicate anything about another person having type O blood, and vice versaExplanation / Answer
a) option D is correct : P(AnB)=0
b)option D is correct ;P(AnB)=P(A).P(B)
c)option E is correct ; cause if either P(A) or P(B)=0 ; then P(AnB)=P(A)*P(B)=0
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