when 1 is added to a number and the answer is trebled , it gives the same result as doubling the number and then adding 4, find
1 answer:
You might be interested in
Using conditional probability, it is found that the probability a person who tests positive actually has the disease is 0.087 = 8.7%.
<h3>What is Conditional Probability?</h3>Conditional probability is the probability of one event happening, considering a previous event. The formula is:
In which:
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
For this problem, the events are given as follows:
- Event A: Positive test.
- Event B: Person has the disease.
The percentages associated with a positive test is:
- 95% of 0.5%(person has the disease).
- 5% of 99.5%(person does not have the disease).
Hence:
P(A) = 0.95 x 0.005 + 0.05 x 0.995 = 0.0545.
The probability of both a positive test and having the disease is:
Hence the conditional probability is:
P(B|A) = 0.00475/0.0545 = 0.087.
The probability a person who tests positive actually has the disease is 0.087 = 8.7%.
More can be learned about conditional probability at brainly.com/question/14398287
#SPJ1