00:01
Hi, i'm david and i'm here to help you answer your question.
00:04
Now let me bring up your question here.
00:07
In this question here we are going to discuss about the normal distribution.
00:13
Now let me remind you that if we have the x that followed by the normal with the mean and standard deviation and then if we take the x minus the mean of a standard deviation, we obtain the standard normal.
00:25
In this question here the grade point average x will follow by the normal when the mean it will equal to the 2 .4, standard division equal to the 0 .5.
00:37
And now we will have the symbol and it will equal to the 3.
00:42
And when you find the probability that on 3 will process the grade point average in exceed the 3 .07.
00:49
So let's try to find the probability for one of them first, that will be greater than the 3 .07.
00:55
To find this probability, i need to convert the x into the z.
01:00
To do it, i need to apply the formula.
01:01
Here so i will take the 3 .07 and minus the mean over the standard deviation and then it will compute it we will have the z greater than 3 .0 7 minus 2 .4 the 5m 0 .5 equal to the 1 .34 now to find this probability i need to bring up the z table so let me copy the table and i put it on the right here.
01:32
Notice that the table i bring here in the negative score with the probability on the left tail.
01:37
Right now, we're not able to use this table to find this probability yet because it's not convertible.
01:43
So i would try to draw the graph on the standard normal.
01:46
Draw here...