The Normal Distribution The Normal Distribution is a Continuous Probability Distribution that is commonly applied when there is a "common" value among data while more extreme values are less likely....

The Normal DistributionThe Normal Distribution is aContinuous Probability Distribution that is commonly applied when there is a "common" value among data while more extreme values are less likely. The characteristics of the Normal Distribution are:

1. The mean, median, and mode are are equal (or nearly equal).


2. The curve is symmetric at the center.


3. Half of the values are to the left of the center (mean) and the other half are to the right


4. The total area under the curve is 1.

Applying the Normal Distribution to a scenario.

The distribution of heights of adult American men (in inches) is apporximately normal such that X∼N(69,2.5)X∼N(69,2.5).


Use the scenario above to determine the selected probabilities below. You may wish to use the Normal Distribution Calculator hosted by the University of Iowa's Department of Mathematical Sciences. Remember: the formatting of this calculator may vary slightly from what is used in class. (link: Normal Distribution Calculator)
(Include four decimal places in your answers below.)

Extracted text: e. Use the table below to determine the following: Height Z-Score -3 61.5 -2 64 -1 66.5 69 1 71.5 2 74 3 76.5 If there are approximately 152 million adult American men in the United States, how many of them do you expect to be between 69 and 71.5 inches tall? million American men.