00:01
Hi, i'm david and i'm here to help you answer your question.
00:03
Now let me bring up your question here.
00:06
In the question here we are going to discuss the by the normal distribution.
00:10
Let me remind to you that if the x then followed by the normal, when the mean of standard deviation, and if we turn the x, we minus the mean of a standard deviation, we obtain the standard normal.
00:23
In the question here, we have the x will be the amount of the sodium consumed follows by the normal, with the mean equal to the 9 .8, standard division equal to the 0 .8.
00:35
I see you answer much of the question except for this part here.
00:39
So let me try to answer this one for you.
00:42
We want to find the probability that the amount will be between the 10 .1 and the 12.
00:49
To find this probability, i need to convert the x into the z.
00:52
To do it, i need to apply this formula.
00:54
And then we get the 10 .1 minus the mean 9 .8 over the standard deviation.
01:02
I do the same thing on the right.
01:06
And if we compute it, i will have the z will be between the 10 .1 minus 9 .8, divided by 0 .8 equal to the 0 .375.
01:20
12 minus 9 .8, divided by 0 .8, equal to the 2 .75.
01:27
Now to find this probability, i need to bring up the z table.
01:31
Let me combine the z table.
01:33
And i put the table on the right here...