The Normal Distribution

1.Demonstrate that you understand the basic concepts involving the - the normal distribution.In two small paragraphs describe a couple of properties/rules applicable to the normal distribution.

2.Provide an original example of some practical case where we can use the normal distribution (e.g., IQ scores follow a normal distribution of probabilities with a mean IQ of 100 and a standard deviation of 15 IQ points.).Assign your numbers for mean and standard deviation .

Make sure is about four times bigger than .Then select any number "a" below or above mean ,but not too far from . The difference (a - ) should be less than 3. Your chosen numbers should be different from those chosen from your fellow classmates.

For example, = 80, = 20, a = 90 (or a = 75).

Find following two probabilities:

1) P(x < a)

2) P(x > a)

Use the formula z = (a - )/ to calculate your z-value.Please refer to the Appendix Table for the Standard Normal Distribution within the eText to find the desired probabilities.

Hint: To find P(x>a) use formula: P(x>a) = 1 - P(x

3. Describe how you would find P( a < x < b ). Provide an original example to illustrate how you would find such probabilities.Your chosen numbers and example should be different from those used by your fellow classmates.