00:01
We are looking at a normal distribution.
00:02
I will start by drawing it.
00:06
The total area under this curve is 1, or 100%, and it is symmetric.
00:11
Its mean is 150, its standard deviation is 50.
00:16
In part , we want the proportion of scores below 225.
00:22
So that's above the mean.
00:25
And we're looking at less than, so area to the left.
00:30
Now, to find this point, we need something with the normal distribution built into it.
00:35
We can't just integrate this function, it's too complicated.
00:38
You could use software.
00:39
I'm going to use my ti -84 calculator with the normal cdf function.
00:45
It has four inputs.
00:46
Lower bound, upper bound, mean, standard deviation.
00:51
225 is my upper bound.
00:53
For the lower bound, i know the normal distribution never touches the x -axis.
00:58
So it should be minus infinity...