00:01
So here in our question, we need to show that the mle of p is this equation that we're given here.
00:10
And to start with that, we'll know that the random variable x follows the binomial with the parameter nnp.
00:21
And so the probability mass function of that random variable x will look like this, and we'll use that for, the next part of our question.
00:40
And so we'll take the log on both sides, which we'll find one simplified, which be an n.
00:52
We'll look like this.
01:01
And then we'll differentiate on both sides.
01:07
And that will, should also add that.
01:13
And when we differentiate on both sides, we will find d -p -l -p.
01:27
Once simplified, it should be a p...