00:01
So we have our probability distribution for moving violations.
00:03
And our first question states, what is the probability that if you have 15 people chosen, such that at least 10 have no violations? so at least 10 have no violations.
00:21
And so that would be a binomial setting.
00:24
And let's change colors here.
00:27
And this is going to be a binomial setting where we're going to have our probability of success of having none being 0 .6.
00:34
And so we're going to use – sorry, i had to shut a window.
00:40
So i'm just mowing.
00:41
And we're going to find the probability of 1 minus the probability of x being less than or equal to 9.
00:49
And that will give us our complement.
00:51
And we're going to use our binomial cdf.
00:53
1 minus binomial cdf will say we have 15 trials with the probability of success having no violations being 0 .6.
01:02
And then we want to have 9 and fewer.
01:04
And then 1 minus will give us our complement, which is the 10 and more.
01:09
So i type in 1 minus second distribution, go to that binomial cdf.
01:16
And again, i have 15 trials, 0 .6 as the probability of success, and 9 as my x value.
01:22
And that probability, i believe you need it to three decimal places, is 0 .403.
01:28
Next, we're dealing with having at least one violation.
01:32
So now our probability of success is having at least one.
01:37
And at least one is all of these or the complement of that...