 Hello and welcome to the session. Let's work out the following problem. It says find the value of P if the mean of the following distribution is 7.5. So we have to find the value of P if the mean of this distribution is 7.5. So let's now move on to the solution. Now the mean of the distribution is given by summation fi xi upon summation fi. Now we are given that the mean is 7.5. Now to use this formula and to find the value of P we need to find summation fi xi and summation fi. So this is the distribution table. Now we will find the product fi xi. Now 3 into 6 is 18. 5 into 8 is 40. 15 into 7 is 105. 9 into P is 9P. 11 into 8 is 88. 13 into 4 is 52. Now we have to find summation fi xi. It would be 18 plus 40 plus 105 plus 88 and 52 is 303 plus 9P. Now we also need to find summation fi. A 6 plus 8 plus 15 plus 8 plus 4 is equal to 41 plus P. Now we have mean that is 7.5 is equal to summation fi xi upon summation fi by 1. So this implies 41P into 7.5 is equal to 303 plus 9P cross-world decline. Now 7.5 into 41 is 307.5. 7.5 into P is 7.5 into P is equal to 303 plus 9P. So this implies 307.5 minus 303 is equal to 9P minus 7.5 P. So this implies 4.5 is equal to 1.5P. So this implies P is equal to 4.5 upon 1.5. So this implies P is equal to 3. That is the value of P is 3. So this completes the question. Always write the formula which you are using while doing the question and do take care of all your calculations. So bye for now. Take care. Have a good day.