The probability that the result of the test is positive, given that the sample doesn't contain the bacteria = 0.03
What is probability?
"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
The formula of the probability of an event A is:
P(A) = n(A) / n(S)
, where n(A) is the number of favorable outcomes and is the total number of events in the sample space.
For given example,
Let event A : the number of result of the test is positive, given that the sample doesn't contain the bacteria
⇒ (n(A)) = 58
the total number of sample n(S) = 2000
Therefore, the probability that the result of the test is positive, given that the sample doesn't contain the bacteria would be,
⇒ P(A) = n(A)/n(S)
⇒ P(A) = 58/2000
⇒ P(A) = 29/1000
⇒ P(A) = 0.029
⇒ P(A) = 0.03
Therefore, the correct answer is option (A) 0.03
Learn more about probability here,
brainly.com/question/11234923
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