Use the NORM.S.DIST () function to calculate the following probabilities, X ~ N(100, 25): 

(a) P(X ≤ 95); 

(b) P(95 ≤ X ≤ 105);

(c) P(105 ≤ X ≤ 115); 

(d) P(93 ≤ X ≤ 99). 

In each case convert X to Z. Compare with your answers from Exercise X4.1.

Data from Exercises 4.1

Use the NORM.DIST function to calculate the following probabilities, X ~ N(100, 25):

P(X ≤ 95); 

P(95 ≤ X ≤ 105); 

P(105 ≤ X ≤ 115);  

P(93 ≤ X ≤ 99). 

For each probability identify the region to be found by shading the area on the normal probability distribution graph.