00:03
Here we have given the following table x p x equal to x 15 0 .15, 2, 3, 34, 40, 0 .47, 0 .24, 0 .14 .14.
00:42
Here, x is a discrete random variable.
00:44
We know that discrete random variable can take on either a finite or at most a countably infinite set of discrete values their probability distribution is given by a probability mass function which directly maps each value of the random variable to a probability.
01:01
The probability of each value of a discrete random variable is between 0 and 1 and the sum of all the probabilities is equal to 1.
01:11
So here in part a we have to find is this is a valid probability distribution or not.
01:18
So we will add all the probability distribution.
01:23
If it is equal to 1 then this is a valid probability distribution.
01:28
So summation for px equal to 15, px equal to x equal to 1.
01:44
So px equal to 15 plus p x equal to 22 plus p x equal to 34 plus px equal to 40.
01:59
So this implies 014...