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1. STAT – 835
Normal Distribution
Lecture_10

2. Normal Distribution
 Normal Distribution is also know as Bell Curve.
 Distribution occurs naturally in many situations.
 The mean, mode, and median are all equal
 The curve is symmetric at the center
 Exactly half of the values are to the left of center
and exactly half the values are to the right
 Total area under the curve is 1

3. Normal Distribution
 Empirically
◦ 68% of the data within one Standard Deviation
◦ 95% of the data within two Standard Deviation
◦ 99.7% of the data within three Standard Deviation

4. Normal Distribution

5. Normal Distribution using Tables
Example 1
Example 1 Solution

8. Use Tables to Find the Value of Z Given a
Probability

9. Example 2

10. Example 2

11. Example 2

12. Transform Any Normal Distribution into Z
and Use Table

13. Example 3 Solution
Example 3

14. Example 3 Solution

15. Example 4
Example 4 Solution

16. Using Normal Tables to Find 𝝁 𝒂𝒏𝒅 𝝈

17. Example 5
Example 5 Solution

18. Example 6

19. Class Practice Problem 1
Class Practice Problem 2