00:01
Okay, so for this problem, we want to go ahead and take our pdf that we're given, our probability density function, little f of x, and calculate cap f of x, which we use to denote the cumulative distribution function.
00:18
And so how we're going to do this is we're going to start by just integrating our little f of x with no limits on our integral.
00:28
So that should give us 1 over 98 x cubed plus a constant.
00:40
Because we have no limits on our integral, we're going to get that plus c on the end of this.
00:45
And so from here, our next step is to figure out what this plus c is going to be that makes us a valid cdf.
00:51
There's a couple of ways we can find this.
00:53
The way that i prefer is to plug in the right end point into our function.
01:01
So for here, we're going to get 125.
01:05
Over 98 plus c...
