Based on data from Bloodjournal.org, 10% of women 65 years of age and older have anemia, which is a deficiency of red blood cells. In tests for anemia, blood samples from 8 women 65 and older are combined. What is the probability that the combined sample tests positive for anemia? Is it likely for such a combined sample to test positive?

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dogacandu dogacandu · Answer 1 · 2019-11-23T19:58:24+01:00

Answer:

the probability that the combined sample tests positive for anemia is ≈ 0,38.

Thus it is 38% likely that such a combined sample to test is positive.

Step-by-step explanation:

The combined sample tests positive if at least one of the 8 women has anemia.

Let p be the probability that a women 65 years of age and older have anemia

Then p=0.1

The probability that one of the 8 women has anemia and others does not is:

p×[tex]p^{7}[/tex] .

Since there are 8 combinations of this probability is possible, the probability that at least one of the 8 woman has anemia is:

8×p×[tex]p^{7}[/tex] =8×0.1×[tex]0.9^{7}[/tex] ≈ 0,3826