00:01
Hey there, welcome to numerade.
00:03
We are looking at a woman that tested positive.
00:07
What is the probability that she is pregnant based on the information that is provided in exercise 3 .2 .6? so to start off over here, we were given the probability of being positive and pregnant.
00:24
So given that it's pregnant and the probability of pregnant and the probability of pregnant and the probability of the probability of the, positive rates here.
00:32
So for this case, we can use bayes theorem.
00:36
So base theorem, theorem basically states over here the probability of being pregnant, given tested positive, equaling the probability here of testing positive and being pregnant.
01:10
So given pregnant.
01:12
All right and then from here we have multiplied by the probability of being pregnant divided by the probability of testing positive all right so with this here that's what we have so let's first find the probability of testing positive so from here we can transform our equation in order to be the probability of being pregnant given testing positive.
02:13
Equaling, so we have the probability of testing positive given being pregnant is 0 .98.
02:25
So we have 0 .98 times the probability of being pregnant here.
02:33
So probability of pregnant divided by the probability of testing positive.
02:43
So for the probability of testing positive here, this is going to be equivalent to the 0 .98 times the probability of testing pregnant or being pregnant, plus the remaining here, which is not pregnant...