00:01
Hello.
00:03
So here we have a normal distribution.
00:08
So let's look at the first part of the question where we want to find the probability 158 less than x less than 161 .6.
00:25
For normal distribution, we're going to have 15...
00:34
Excuse me, this is 0 .7.
00:36
So we're going to have 158 .7 minus 156 .7 divided by 62 .8.
00:50
Here we have x minus mu over standard division.
00:55
Then here we're going to have 161 .6 minus 156 .7 divided by 62 .8.
01:08
Here we're going to have 0 .03 less than z.
01:22
Let's see what we're going to get for the other side.
01:31
We're going to have 0 .08.
01:38
With this, we can now have probability of z less than 0 .08 minus the probability of z less than 0 .03.
01:53
Now we need to figure this out from the z table.
02:00
So from the z table, we look for 0 .08.
02:11
That is going to be 0 .53188 and then for 0 .03, we're going to have 0 .5197.
02:30
So now we need to get the difference.
02:41
We have 0 .53188 minus 0 .5197.
02:50
We're going to have 0 .01991.
03:02
For the second part, now we're talking about the mean...