00:01
For this problem to begin, we know that, or what i'll do is first of all just define some events.
00:05
Let's say that the event d is the event that we have the disease, and the event, let's call it t, is the event that we test positive.
00:21
Now, we're told that the disease has a prevalence of 1 in 1000.
00:26
So, probability of d for a randomly selected individual is 1 over 1000.
00:31
We have that the test is 99 % accurate.
00:36
So that means that the probability of a false positive, which means that we test positive given that we do not have the disease, so that is probability of t given d bar for representing the complement of having the disease, is 0 .01.
00:52
And we also have that the probability of a false negative is 0 .01.
00:57
So, probability of t bar given d is equal to 0 .01 as well...