00:01
We want to find the mean, variance and standard deviation of a discrete probability distribution.
00:07
So we have the potential values of x as being minus 36, minus 22, minus 10, minus 7.
00:15
And we have the probability of getting this value, 0 .33, 0 .33, 0 .24, and 0 .1 .1 .1.
00:25
So let's start with the mean.
00:27
To get the mean, mu, of a distribution, you take you.
00:30
Each possible value, multiply it by its probability, and you add them up.
00:35
Just like finding the mean of a frequency table, except we don't have to divide by n, because probabilities will sum to one anyway.
00:43
So we just multiply these like so, and we add them all up, and we get minus 22 .24.
00:54
So the mean is a measure of centre.
00:57
It should be no surprise that since we have all negative values, the centre is negative as well.
01:04
Now for the variance...