Below is a typical Normal Distribution problem that will be solved further below using the Statistics Made Easy app .

Using the Normal Distribution feature in the Statistics Made Easy app , we enter the given mean and standard deviation in the top box use 0 and 19 for A and B to 0.0324 or 3.24% .

For question 2 we use 90 and 130 instead in the 2. box to 85.83%

For the 3. question we use 130 as A and some large B such as 500 (or 1000) to get 0.1092 or 10.92% as the answer.

For Sampling Distribution we use the Central Limit Theorem

and enter the known mean, standard deviation and sample size to get the sampling distribution

N(mean, std dev/square root(n) ). Here we get 114 and 1.3

Since the sampling distribution is a normal distribution , we go to the previous and only change the standard deviation to 1.3 instead of 13. Below, we type in the given 110 and 116 to get 93.6986%

That was not too difficult at all! It was easy..