00:01
Hey there, welcome to numerate.
00:02
So we are given in normally distributing population values with their mean as 220 and our standard deviation as 88 .6.
00:14
So let's write this down, 220 and standard deviation of 88 .6.
00:23
So with these two values, we were asked to now find probability with the sample size of 224, with the given.
00:33
Values right in between so 224 so we had to find z value z score so our probability that we're working with is p or x is between 204 and between 2305 .4 so we're ahead to find his probability so the first step over here is to split its probability into half two halves right so we're going to split this into the probability where x is less than two and four and we're going to split it into the probability where x is less than 235 .4.
01:21
All right, so let's do the x is less than 204 first.
01:26
We're going to find our z score here.
01:30
204 minus 220 divided by, this is our z score equation, okay? divided by our standard deviation, which is 88 .6, divided by the square root of our sample size of 224.
01:49
Let's check out values here.
01:53
Looks good.
01:54
204, 220, and 88 .6.
01:57
And we're going to calculate our z score.
02:02
So let's see our z score here...