00:01
In this problem, we are given the probability distribution table, which includes the values of the random variable x, and they are 4, 5, 6, 7, and 8, and the respective values of the probabilities, well, that's given as well.
00:17
And they are 0 .3, 0 .2, 0 .2, 0 .2, 0 .1, and 0 .2 .2.
00:25
And we have to determine its variance.
00:27
So we will represent that with the letter v, and that's what we have to get.
00:32
So first, let's find out the mean of the distribution.
00:35
And to get that, we just multiply the values of x with the respective values of the probabilities, right from the first to the last, and we add them all...