00:01
So for the part a, where we are to verify if this is a valid probability distribution, we know it must satisfy two conditions.
00:13
Where the first condition is that the probabilities must lie within 0 and 1 inclusive.
00:19
So all the values, all the probability value, so here it was given us f of x.
00:24
So 0 .25 is between 0 and 1 inclusive.
00:31
0 .2 is also between 0 and 1.
00:39
0 .15 is also between 0 and 1.
00:44
0 .30 is between 0 and 1.
00:48
0 .10 is between 0 and 1.
00:53
So this satisfy the first condition.
00:56
So the second condition is the summation of the probabilities should be equal to 1.
01:02
So we have 0 .25 plus 0 .20 plus 0 .30 plus 0 .30 plus 0 .10.
01:14
So when we sum this regular 1, so hence this is a valid probability distribution...