00:01
All right, so we have a poll that was taken of 121 ,911 people in the county aged 15 to 44.
00:09
And the poll is looking at their health insurance status.
00:14
And this is what the poll showed, male, female, whether they're on private, medicaid, some other insurance, or they're uninsured.
00:24
And we want to know some probabilities.
00:26
So the first question, a, asks us the probability that a randomly selected person is male and has private health insurance.
00:43
All right, so we want to know that.
00:45
Well, these are counts, so we need to convert them to probabilities.
00:48
So what i did is i took each of these cell values and divided them by 121 ,911.
00:56
That's going to give us the probabilities.
00:57
Let's go back to that, and here we go.
01:00
So that's what we get.
01:04
Something else i included are the row totals.
01:07
I think the initial problem statement gave you the totals of males and females.
01:11
However, i included these row totals because we'll be using that right now.
01:17
So the probability of male and private, well, that's going to equal the probability of, well, it's actually right here, male and private.
01:28
It's right here.
01:28
It's this male and private.
01:30
It's that 0 .3380 if you go to four decimal places.
01:35
So that's that.
01:40
Part b asks us if a person is female or has private health insurance.
01:44
So the probability of female or, this union symbol, or private health insurance.
01:54
So because we're doing or, this is where we could add the probabilities together, but we have to be careful.
02:00
So it would be the probability of f, a female, plus the probability of private.
02:04
However, if we just blindly add in the female probability and this private probability, we've actually counted the female and private twice because this value includes this value, the female and private, and as is this.
02:27
So what we have to do is subtract the probability of female and private...