00:01
Hi, i'm david and i'm here to have your answer your question.
00:03
Now let me bring up your question here.
00:06
In this question we discuss about the normal distribution.
00:10
Let me remind you that if we have the x followed by the normal with the mean and the standard deviation and then if we turn the x minus the mean over standard deviation, it will follow by the standard normal.
00:24
In this question here we're given the x, it will follow by the normal where we have the mean of the x, then we go to the 100, standard division of x equal to 10.
00:39
And here we want to find the probability that we have the sample of the final student.
00:48
Want to know how many students score between 910.
00:53
So once you find the probability that a single student score will between the 90 to the 110.
01:01
And 10.
01:03
Now to do this one, first of all, we need to turn the x into the z.
01:07
To do it, we use the formula here.
01:11
So we need to turn the 90 minus the mean, divided by standard deviation.
01:16
We do the same thing on the right, and then we simplify this one, we get equal to the probability z will between the minus 1 and 1.
01:29
And if we try to draw the graph here, the area we're looking for.
01:34
Will be at the middle...