00:01
For this question, what we have to do, we have to just calculate the mean and the standard deviation here.
00:08
So there is a given a uniform population.
00:11
So first of all, let's get the mean value.
00:13
So the mean of this distribution is equal to which is the sum of xi times the f of xi.
00:19
So this is which is so this is 4 times 1 over 3 and plus 6 times 1 over 3 and plus 8 times 1 over 3.
00:28
So with the 1 over 3 brackets, this is 4 plus 6 plus 8, which is equal to 1418.
00:35
So this is 18 over 3, which is 6.
00:37
This is the mean score here.
00:39
And also we need to get the standard deviation.
00:41
But first of all, let's find the variance.
00:43
So the variance of this distribution, which is denoted by this is sigma x squared, which is equal to.
00:51
So this is the sum of the probability of xi and times.
00:56
So the each probability minus the mean score and take the square.
01:00
So the probability of this one, 1 over 3 times.
01:04
So the first value is 4.
01:07
So this is 4 minus 6 squared plus and 1 over 3 times...