00:01
So if you look at the graph, the shaded region is from 6 to 8.
00:15
So what we are basically finding is the probability of 6 less than x less 8.
00:28
So remember that this is a uniform distribution.
00:38
So x uniformly distributed from 0 to 9.
00:46
So from the x -axis, the minimum value is 0 and then the highest plus the bigger triangle, excuse me, the rectangle is up to 9, right? but the shaded region is from 6 to 8.
01:07
So this is our uniform distribution from 0 to 9.
01:16
And then we want to find this probability.
01:18
So for uniform distribution, the probability of 6 less than x 8 equals the integral from 6 to 8 into 1 over b minus a so here this is a in this so b minus is 9 minus 0 okay, dx.
02:01
So we can bring the 1 over 9 out.
02:05
We have an integral from 6 to 8 dx.
02:13
So if you do the integration, you're going to have x and your limit is going to be 6 to 8...