00:01
Hi, i'm david and i'm here to help you and send your question.
00:03
Now let me bring up your question here.
00:06
In the question here, we are going to discuss about the server -shape theorem.
00:12
Let me remind you that it will given the mill and the standard division of the population and then the probability of the x minus the mule and then smaller than equal to the k times in the sigma.
00:27
It will be at least 1 minus the x.
00:32
The 1 over k square.
00:36
Now in this question here, we're given the mean equal to the 19 .2 and the standard division equal to the 5 .4.
00:50
So we need to find the interval that will take unless the 80 .9%.
00:56
So it means that we want this quantity here, 1 minus 1 over k square, must equal to 0 .8 so it will solve for the k, we will get equal to 1 over k square, equal to 1 minus 0 .889.
01:17
And then we get equal to 1 minus 0189, equal to the 0 .111.
01:24
So therefore we have the k square equal to 1 over 0 .111...