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Description
| Question | Answer |
| The Normal Curve | A bell shaped density curve centered at its mean (mu). |
| Normal Distribution | |
| Aspects of a Normal Distribution | |
| Importance of Normal Distribution | 1. Used to determine the probability that a measurement of a normal random variable falls in a particular interval 2. Used to determine the area under the curve in a certain interval or the proportion (or percentage) of the measurements that fall in a certain interval 3. Used to determine the value of the normal random variable X to guarantee a given probability or percentage |
| Notation of Normal Distribution | |
| Empirical Rule / 68-95-99.7 Rule | |
| Standard Normal Distribution (Z) | Z~N(0,1) Total Area under standard normal curve = 1 It's probabilities (or proportions or percentages) are tabled |
| Z Table | To use standard normal table to find probabilities... - read the value of z down the left most column - then read across the top row - then find the probability in the body of the table **Z table can only be used to find probabilities less than or equal to the value of z specified |
| Z- score | To find the greater than area under the standard normal curve.... P(Z > z) = 1 - P(Z < z) To find the probability that Z falls between a and b .... P(a < Z < b) |
| Z-score transformations | Z = (value - mean)/standard deviation |
| Probability of X in an Interval | |
| Z Score Transformation Example (1) | |
| Z Score Transformation Example (2) | |
| Z Score Transformation Example (3) | |
| Z Score Transformation Example (4) |
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