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02.10.2019 •
Mathematics
2.4.31. medical records show that 0.01% of the general adult population not belonging to a high-risk group (for example, intravenous drug users) are hiv-positive. blood tests for the virus are 99.9% accurate when given to someone infected and 99.99% accurate when given to someone not infected. what is the probability that a random adult not in a highrisk group will test positive for the hiv virus? larsen, richard j.. an introduction to mathematical statistics and its applications (p. 44). pearson education. kindle edition.
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Ответ:
The probability is 0.00019989
Step-by-step explanation:
We are going to define the conditional probability as :
Where P(A,B) is the probability of the event (A∩B).
Let's define the following events :
B : ''The HIV test is positive''
A : ''The adult is infected''
Also we define :
Where
is the event where A does not occur.
In the exercise :
Where
represents the test accuracy
We are ask about P(B).
We write :
P(B) = P{ [(B∩A)∪[B∩(A^{c})]}
P(B) = P(B∩A) +P[B∩(A^{c})]
Using the conditional equations
Ответ:
Answer :its 11
Step-by-step explanation: cause my dog told me the answer and he/ she always right UwU