00:01
So we have the joint probability mass function of x and y given in the table and the black color.
00:08
So we have the probabilities.
00:11
And then the first thing to calculate the expectation of 2x minus y.
00:17
So we need to calculate the value of 2x minus y for each pair of x and y.
00:24
So these values are given in red.
00:27
So we have for the first one, x equal.
00:30
To 2 and y is 1.
00:33
So 2x minus y and 3.
00:35
And similarly, for y and 3, then the value is 1.
00:39
And negative 1, 7, 5 and 3.
00:43
And then we just use the value multiplied by the probability and then sum up this to get the expectation is 3 .4 here.
00:53
And then expectation of x and y.
00:56
Similarly, we calculate the product of x and y in each case...