00:01
Hello students, today we will discuss about this question.
00:04
In this question we are given that let x, that be a uniform, discrete uniform distribution on the values, that is x is equal to a, a plus 1 up to b, such that here, e of x that is equal to we are given 6 .5 and variance of x that is equals to 5 .25.
00:35
Here we need to find the values of a and b.
00:38
So here a is equal to question mark and b that is equals to question mark.
00:43
So here first of all for a discrete uniform distribution we can write mean is equals to e of x that is equals to a plus b divided by 2 and the variance sigma square that is equals to b minus a whole square divided by 12.
01:00
Now we are given that e of x is equals to 6 .5, that implies that a plus b divided by 2, that is equals to 6 .5, that gives a plus b, that is equals to 6 .5 multiplied by 2, so that is 13.
01:15
So, this will be supposed equation 1.
01:18
Now, here, variance of x, that is equals to 5 .25...