 Hello and welcome to the session. In this session, we are going to discuss the following question and the question says that, the number of children capital X in our family, Sodhan at random, has the following probability distribution, find the average number of children in the family that is the expected value of capital X. Now let us start with the solution of the given question. Here we are given a table that shows probability distribution for the number of children capital X. We have to find the average number of children in the family that is we have to find expected value of capital X. We know that if capital X is a random variable with possible values denoted by small x i and probability of small x i denotes probability of capital X is equal to small x i that is probability distribution then expected value of capital X which is denoted by mu is equal to summation of small x i into probability of small x i where i varies from 1 to n. So we have expected value of capital X is equal to summation of small x i into probability of small x i where i goes from 1 to 5. Now this is equal to 1 into 0.44 plus 2 into 0.39 plus 3 into 0.14 plus 4 into 0.02 plus 5 into 0.01 and this is equal to 1 into 0.44 is 0.44 plus 2 into 0.39 is 0.78 plus 3 into 0.14 is 0.42 plus 4 into 0.02 is 0.08 plus 5 into 0.01 is 0.05 and this is equal to 1.77. So we get expected value of capital X as 1.77 which is approximately equal to 2 thus average number of children in family is 2 approximately which is the required answer. This completes our session. Hope you enjoyed this session.