00:01
This table is given in the question.
00:03
So at the first step, we have to find the expected value.
00:07
So the expected value, which is equal to the sum of the values, this is xi times the probability of xi.
00:14
Or i can just write that as x is equal to xi.
00:17
So we have to add these numbers.
00:19
So the expected value for this function, which is 6 times 0 .2 and plus 5 times 0 .2 and plus 4 times 0 .2 and plus 3 times 0 .2 ,000.
00:30
0 .2 and plus 2 times 0 .2.
00:34
So we have 1 .2, 1 .0 .0, 0 .8, 0 .6, and 0 .4.
00:42
Let's add these numbers together.
00:44
This is 2 .2, 3 .6, 4.
00:47
So the expected value for this given table, which is 4.
00:51
What about 4b? it says defined variance.
00:54
So the variance is equal to, this is the expected value.
00:59
I'm sorry, this is the expected value.
01:01
Of x squared minus the expected value of x squared.
01:07
Great, let's get the expected value of x squared here...