00:01
So we're told that it takes between 30 seconds and 10 minutes to solve the problem of our customers.
00:16
So this is 0 .50 minutes, and this is still 10 minutes.
00:23
So if we know that our solving time is uniformly distributed between these two values, then our a is equal to 0 .50 and our b is equal to 10.
00:42
So what are the values of a and b in minutes? here's your a, here's your b.
00:48
And then for part b, what is the mean time to resolve the problem? so the mean for x, well, the mean of a uniform distribution is going to be the midpoint.
01:01
So this is going to be a plus b divided by 2, which is the midpoint.
01:08
So this is 10 .50 divided by 2, which is 5 .25 minutes, so five and a quarter minute.
01:18
And the standard deviation, well, the variance of x for a uniform, and the variance is b minus a squared divided by 12.
01:36
So this then is going to be 10 minus 0 .5 squared divided by 12...