PPT-The Normal Distribution

Lesson 2 Starter Find P Zlt163 To do this we begin with a sketch of the normal distribution We then mark a line to represent Z163 PZlt163 is the area under the curve to the left of a. Cal State Northridge. . 320. Andrew Ainsworth PhD. The standard deviation. Benefits:. Uses measure of central tendency (i.e. mean). Uses all of the data points. Has a special relationship with the normal curve. Reading: . Chapter 11, Sections 12-1 and 12-2 . of Applied Hydrology. 04/04/2006. 2. Probability. A measure of how likely an event will occur. A number expressing the ratio of favorable outcome to the all possible outcomes . History. Abraham de . Moivre. (1733) – consultant to . gamblers. . Pronunciation. .. Pierre Simon . Laplace – mathematician, astronomer, philosopher, determinist.. Carl Friedrich . Gauss – mathematician and astronomer.. Mat 271E. Yard. Doç. Dr. Tarkan Erdik. Probability Distributions. Uniform and Normal Distributions- Week 7. 1. Probability Distributions. 2. It has been observed that . certain functions . F(x). and . Normal distribution. Lognormal distribution. Mean, median and mode. Tails. Extreme value distributions. Normal (Gaussian) distribution. P. robability density function (PDF). What does figure tell about the cumulative distribution function . Mrs. Aldous, Mr. . Beetz. & Mr. Thauvette. DP SL Mathematics. Normal Distribution. You should be able to…. Describe the properties of a normal distribution with mean and standard deviation . The Normal Curve, Skewness, Kurtosis, and Probability. VON CHRISTOPHER G. CHUA, LPT, MST. Affiliate, ESSU-Graduate School. MAED 602: STATISTICAL METHODS. Session Objectives. In this fraction of the course on Statistical Methods, graduate students enrolled in the subject are expected to do the following:. A Brief Introduction. Normal (Gaussian) Distribution. Bell-shaped distribution with tendency for individuals to clump around the group median/mean. Used to model many biological phenomena. Many . estimators . State:. Express the problem in terms of the observed variable . x. .. Plan:. Draw a picture of the distribution and shade the area of interest under the curve.. Do:. Perform calculations.. Standardize. Parameter & Statistic. Parameter. Summary measure about population. Sample Statistic. Summary measure about sample. P. . in. . P. opulation. . &. . P. arameter. S. . in. . S. ample. . Section 2.2. Normal Distributions. After this section, you should be able to…. DESCRIBE and APPLY the 68-95-99.7 Rule. DESCRIBE the standard Normal Distribution. PERFORM Normal distribution calculations. Binomial Distribution 1. Binomial Distribution 2. Additional Problems on Binomial Distribution. More Visual Representation. Binomial Distribution Tends to Normal for Large n. Binomial Distribution Tends to Normal for p Close to 0.5. Dehaish. Outlines. Normal distribution. Standard normal distribution . Find probability when known z score . Find z score from known areas . Conversion to Standard normal distribution.. Sampling distribution of sample mean . Normal random variables. The Normal distribution is by far the most important and useful probability distribution in statistics, with many applications in economics, engineering, astronomy, medicine, error and variation analysis, etc. The Normal distribution is often called the bell curve, due to its distinctive shape..