00:01
Hi, i'm david and i'm here to have your answer your question.
00:03
Let me bring up your question here.
00:05
In this question we will review about the normal distribution.
00:09
We continue that if x followed by the normal mu -sigma and then if we think the x minus the mu over the sigma, it will equal to the standard normal.
00:20
Now in this question we are given the x followed by the normal with the mu equal to the 580.
00:30
80 and the standard deviation equal to the 92.
00:35
Let's see then you answer the part 1 and part 2 and anyway i will do it again here.
00:40
One, once you find the probability that the x is between the 550 and the 610.
00:50
The first time we need to turn the x into the standard normal and then in order to do that, we will have z here is more equal 2.
00:59
We have to take the 550 we minus the mean 580 divided by the standard deviation we do the same thing on the right and then if we do it we should have the proper but do the z between now 550 divided by 92 you get equal to minus 0 bond 3 to 6 around it in the 0 1 3 3 3 now for the the one on the right minus 580 divided by 92 can equal to the z point 3 3 as well so this one by symmetry and by the common one which you need to take 1 minus 2 times the probability the z smaller than the minus 0 .33 and we need to bring up the z table and i will show you how to use the z table here and put the table on the right here and look at the table, we want to have the value of the z smaller than the minus 0 .33 here...