Mathematics, 17.07.2020 14:01 wowlol448
The probability of a randomly selected adult in one country being infected with a certain virus is 0.003. In tests for the virus, blood samples
from 29 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined
sample to test positive? Note that the combined sample tests positive if at least one person has the virus.
The probability that the combined sample will test positive is
(Round to three decimal places as needed.)
Answers: 3
![P(X=x) = \left[\begin{array}{c}{29}&x\\\end{array}\right] (0.003)^x (1-0.003)^{29-x}](/tpl/images/0708/4678/6d2d8.png)
![P(X \geq 1) = 1 - \left[\begin{array}{c} \dfrac{29!}{0!(29-0)!} \ \ \times 0.003)^0 \times (1-0.003)^{29-0}}\end{array}\right]](/tpl/images/0708/4678/11863.png)
![P(X \geq 1) = 1 - \left[\begin{array}{c} 1 \times 1 \times ( 0.9166)\end{array}\right]](/tpl/images/0708/4678/78487.png)
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