00:01
We need to find the constant c so that these are probability distributions.
00:05
Let's start with a.
00:06
So f of x is c x squared plus 4, looks like, and a can be 0, 1, 2 or 3.
00:18
So let's make a probability distribution.
00:20
We have 0, 1, 2 and 3 as our values for x.
00:25
And the probabilities of these are going to be, so this is for 4.
00:33
This is 5c, this is 8c, and this is 13c.
00:43
So i've just put our values of x into here to get to see what we go.
00:48
Okay, and now i know there are two rules for a probability distribution.
00:53
First of all, all of these have to be between 0 and 1, inclusive, and they have to add up to a total of 1.
01:04
So if i sum all of these probabilities, i get one.
01:09
So let's add these up.
01:11
So we have 9, 17, 30...