 Dear students, let me give you an example of how we compute probabilities in the case of a continuous random variable. Let's take the simple case that our continuous random variable x goes from 0 to 1 and f of x is equal to 1. Yani, we are talking about the uniform distribution or the rectangular distribution defined on the interval 0 to 1. Now, in this scenario, if we are interested in computing the probability of x lying between A and B or any probability on that interval, how do we do that? Let's take an example. Notice that we want to find the probability that x is less than 1 by 8 or x is greater than 7 by 8. Yani, we are interested in that either 1 over 8 is less than x value or 7 by 8. So, students, it is not at all difficult. All we have to do is to apply the addition theorem for mutually exclusive events and also to apply the simple calculus and integrate our small f of x. As you can see on the screen, the probability of x being less than 1 by 8 or x being greater than 7 by 8, which is denoted as the union of those two events, that will be equal to the integral from 0 to 1 by 8 of our f of x plus the integral from 7 by 8 to 1 of our f of x. Now, because our f of x, that itself is equal to 1 in this interval 0 to 1, that is 1. So, one kind of integral, the indefinite integral, as you know, it is x, so it will be equal to the integral of 1 from 0 to 1 by 8, yani x with the limits 0 to 1 by 8 plus the integral of 1 from 7 by 8 to 1, yani plus x with the limits 7 by 8 to 1. So, now, let us apply the limits on the first x, 1 by 8, upper limit minus 0, the lower limit plus the upper limit minus 7 by 8, the lower limit, solve this 1 by 8 plus 1 by 8, that is 2 by 8, that is 1 by 4. So, this is the required probability. Isi tari kese, even if they are relatively complicated probability density functions, we can always attempt to compute the desired probabilities through the application of the appropriate mathematical things that we can do on them. In this case, the addition theorem we had to apply because of the union and the integral, of course, we have to take always in order to find the area in that interval. That is how we do it.