The Am supply and deman 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 disjoint or independent or neither? Explain your answer. b) If you examine two donors, are the events that the first donor is Type B and the second donor is Type O disjoint or independent or neither? c) Can disjoint events ever be independent? Explain.
The Am supply and deman 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 disjoint or independent or neither? Explain your answer. b) If you examine two donors, are the events that the first donor is Type B and the second donor is Type O disjoint or independent or neither? c) Can disjoint events ever be independent? Explain.
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Transcribed Image Text: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 disjoint or independent or
neither? Explain your answer.
b) If you examine two donors, are the events that the first donor
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?
OA. The events are independent because if a person has
type B blood, that same person cannot also have type
O blood, and vice versa.
OB. The events are disjoint because if a person has type B
blood, that same person cannot also have type O
blood, and vice versa.
C. The events are neither disjoint nor independent
because they are dependent events.
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 versa.
O E. 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.
b) For the two donors, are the events disjoint or independent or
neither?
O A. 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.
OB. 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.
OC. The events are neither disjoint nor independent
because they are dependent events.
Transcribed Image Text:independent or neither?
c) Can disjoint events ever be independent? Explain.
UB.
i ne events are disjoint because one person naving
type B blood does not indicate anything about another
person having type O blood, and vice versa.
OC. The events are neither disjoint nor independent
because they are dependent events.
OD. The events are disjoint because if a person has type B
blood, that same person cannot also have type O
blood, and vice versa.
OE. The events are independent because if a person has
type B blood, that same person cannot also have type
O blood, and vice versa.
c) Can disjoint events be independent?
A.
No, because once it is known that one of a pair of
disjoint events has occurred, the other one cannot
occur, so its probability has become 0.
B. No, because once it is known that one of a pair of
disjoint events has occurred, the other has the same
chance of occurring, so its probability has not changed.
OC. Yes, because once it is known that one of a pair of
disjoint events has occurred, the other one cannot
occur, so its probability has become 0.
OD. Yes, because once it is known that one of a pair of
disjoint events has occurred, the other has a larger
chance of occurring, so its probability has changed.
OE. No, because once it is known that one of a pair of
disjoint events has occurred, the other one must occur,
so its probability has become 1.
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