00:01
In the central limit theorem for sums, in this problem, we are given that mu is 39 .01, sigma is 0 .5, and the sample size is 100.
00:17
And we're asked to find the probability of the sums between the numbers from the previous two questions.
00:24
This is question 18 and from question 16, we needed, we used the value 3 ,910 in the problem.
00:35
And in number 17, we used 3 ,900.
00:41
And so we want to find the probability that they're going to be in between these two.
00:45
So from your graph and calculator, you're going to want to locate the normal cdf function.
00:51
And there are four inputs here.
00:53
The first two are your bounds.
00:55
And so if we're going to be between 3 ,900 and 3910, 3 ,900 is the lower bound, 3910 is the upper bound.
01:03
And then we have to calculate the mean, which is n times mu, so 100 times 39 .01, which is 3 ,901...