00:01
Okay, the first part of the question, the uniform distribution looks something like this.
00:09
What you have is a rectangular shape.
00:16
Here will be a, for example, here will be b.
00:20
It would be 1 over b minus a.
00:25
In other words, this area here is 1.
00:31
What that means is that a random variable assumes an interval of equal length as the same for each interval.
00:43
So the answer d is the one you need here.
00:48
If you take, for example, suppose this from here to here, and i take the same thing from here to here, then this area and that area are the same if this length and that length are equal.
01:15
So equal lengths implies equal chance.
01:21
So that's why it's d.
01:26
Now for a normal curve, a different shape, it's an l -shaped distribution like that.
01:38
And here is the mean, mu in the middle.
01:42
And this follows this empirical rule called 68, 95, and 99 .7, which means 68 % of the data lies within one standard deviation of the mean...