Use the NORM.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); and (d) P(93 ≤ X ≤ 99). For each probability identify the...

Use the NORM.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); and (d) P(93 ≤ X ≤ 99). For each probability identify the region to be found by shading the area on the normal probability distribution graph.