00:01
Given joined density is x here y, y equal to 0, y equal to 1 and y equal to 2, x equal to 0 and x equal to 1.
00:22
This one is 1 by 6, this is 1 by 4, 1 by 8, 1 by 8, 1 by 8, 1 by 6, and 1 by 6, and 1.
00:37
1 by 6.
00:39
Probability of x equal to x is 13 by 24 by adding row sum.
00:49
Sorry, raw sum give probability of x equal to 0.
00:53
Similarly, probability of x equal to 1 is 11 by 24.
01:00
And probability mass function of y is 7 by 24, 10 by 24, and 7 by 24.
01:14
That is column totals give marginal density of y and total is 1.
01:23
For a part we have to find probability of x equal to 0 and y is less than or equal to 1 which is probability of x equal to 0 and y equal to 0 plus probability of x equal to 0 and y equal to 0 plus probability of x equal to 0 and y equal to 1 which is equal to 1 by 6 plus 1 by 4.
01:55
This is 10 divided by 24, that is 5 by 12.
02:04
This is the required probability value...