00:01
Need to calculate the mean, variance, and standard deviation of this particular probability distribution.
00:05
To do this, let's find the mean first.
00:08
To find the mean, we simply are going to multiply these two together.
00:11
So i'm going to go and then find the sum.
00:14
So we're going to go negative 3 times .58 is going to be negative 1 .74.
00:21
4 times 1 .104 is going to be .416.
00:26
8 times .209 is going to end up being 1 .672.
00:34
And 11 times .107 is going to end up being 1 .177.
00:41
Let's add those together.
00:42
1 .672 and then .416 and then minus 1 .74, we're going to get a mean of 1 .525.
00:52
Now to find the variance, what we're going to do is take each one of these values and subtract it from the mean and then multiply it by the probability.
01:02
We need to calculate.
01:03
So in other words, we're going to go negative 3 minus 1 .525 squared and then multiply that by the .58.
01:10
We're going to say 4 minus 1 .525 squared times .104.
01:16
8 times 1 .525 squared times .209 and then 11 minus 1 .525 squared times .107.
01:28
So let's go get all of those particular values.
01:31
So we're going to have negative 4 .525 squared times .58.
01:36
That's going to be, and i'm out of room, so i'm going to put that here...