Answer:
0.5885
Step-by-step explanation:
The possible ways for a test to be positive are:
- Woman is pregnant & true positive
- Woman is not pregnant & false positive
The probability of a positive is:
[tex]P(+) = 0.07*0.95+(1-0.07)*(1-0.95)\\P(+)=0.113[/tex]
Therefore, the probability that a woman is actually pregnant given that she tested positive is:
[tex]P(P|+) = \frac{0.95*0.07}{0.113}\\P(P|+) = 0.5885[/tex]
The probability is 0.5885
