Question

Human blood can be classified by the ABO blood grouping system. The four groups are A, B, AB, or O, depending on whether antigens labeled A and B are present on red blood cells. Hence, the AB blood group is one where both A and B antigens are present; the O group has none of the antigens present. Approximately 20% of the US population is black. A table below shows probabilities for two US populations: Blood Group | Total A | 0.352 B | 0.064 AB | 0.024 O | 0.360 Caucasian | 0.80 American Black| 0.054 0.040 0.008 0.098 Total | 0.406 0.104 0.032 0.458 1.00 This table specifies, for example, that the probability is 0.352 that a person selected at random is both Caucasian and blood group A. Are the events "Blood Group A" and "Caucasian Race" independent?

          Human blood can be classified by the ABO blood grouping system. The four groups are A, B, AB, or O, depending on whether antigens labeled A and B are present on red blood cells. Hence, the AB blood group is one where both A and B antigens are present; the O group has none of the antigens present. Approximately 20% of the US population is black. A table below shows probabilities for two US populations:

Blood Group   | Total
A             | 0.352
B             | 0.064
AB            | 0.024
O             | 0.360
Caucasian     | 0.80
American Black| 0.054
               0.040
               0.008
               0.098
Total         | 0.406
               0.104
               0.032
               0.458
               1.00

This table specifies, for example, that the probability is 0.352 that a person selected at random is both Caucasian and blood group A.

Are the events "Blood Group A" and "Caucasian Race" independent?

Added by Drew J.

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