00:03
All right, so we're told that it takes approximately five minutes on average, the standard deviation of four minutes to grade a particular test.
00:11
We've got 43 tests to grade.
00:13
We want to know if we start at 650 and end at 11, what's the probability that we will get all of them graded? okay, so if the mean of one is five, then the mean of 43 is five times 43, which is 215.
00:29
The standard deviation of our 43 is going to equal the square root of 43 times 4 squared, which is going to equal 26 .23.
00:43
Okay, so this is going to follow an approximately normal distribution.
00:47
So from 650 to 11 o 'clock, that's four hours and 10 minutes, which in minutes is a total of 250.
00:56
And 50.
00:57
So what i want to know here is what's the probability that it takes less than 250 minutes to grade all of these tests.
01:04
Okay.
01:05
So if we look at where that would be, 250 is going to be to the right here.
01:09
And i'm finding the probability that it takes less than 250 minutes.
01:14
Okay.
01:14
So i'm going to use normal cdf...