00:01
In this problem, we are given that the scores in a test given by a professor.
00:07
Let's represent that with the random variable x.
00:10
This is having normal distribution, such that the mean score, that is 60, and the standard deviation of the scores.
00:17
This is given to us as 12.
00:20
And now the professor wants to curve this course, and it's observed that the scores here are curved by adding 15 number of, points to each of the score and we have to determine the value of the new mean as well as the new standard deviation.
00:41
So here if we look upon this formula then we see that the mean value is obtained when we add the data values and divide this with the number of observations.
00:50
So now when we add 15 to each score then we find that the sum of the scores this will get enhanced by 15 times n so that means means the mean value, it will increase by 15 points.
01:07
So the new mean here, this will be 60 plus 15, which comes out to be 75...