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 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
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Answer:
TT→T
Step-by-step explanation:
If p is false, then ~p is true.
If q is false, then ~q is true.
Now note that
- If a and b are both true, then a→b is true.
- If a is true, b is false, then a→b is false.
- If a is false, b is true, then a→b is true.
- If a and b are both false, then a→b is true.
In your case, both~p and ~q are true, then ~p→~q is true too (or TT→T)
Answer:
Point Form:
(9,12)
Equation Form:
x = 9
y = 12
Step-by-step explanation:
Answer:
all sides are equal and diagonals are also equal
each angle of square is 90°
For a horizontal line, gradient is zero;
y=mx+c
since m=0
y=c
Replacing for y from given point;
-1=c
c=-1
y-1