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Standard Normal Cumulative Probability Table Cumulative probabilities for NEGATIVE z-values are shown in the following table:
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standard normal curve to the left of . Title: tables.pdf Author: Partha Dey Created Date: 7/9/2008 1:43:35 PM ...
with the standard normal table. It is not a required reading, but it might help you to acquire necessary skills when solving probability questions. Look at the standard normal distribution table (I use only the fragment of it below). What does the number 0.3238 represent? It represents the area under the standard normal z 0.00 0.01 0.020.030.04 ...
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TABLES Table A Standard Normal Probabilities Table B Random Digits Table C Binomial Probabilities Table D t Distribution Critical Values Table E F Distribution Critical Values Table F x2 Distribution Critical Values Tables 20_Moore_13387_Tables_01-20.indd 1 19/08/16 2:22 PM
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- Normal?
- Why the Normal?
- Linear transformations of Normal RVs
- Computing probabilities with Normal RVs
- Computing probabilities with Normal RVs: Old school
Part statement into a random variable In situations with probability distributions heights? one classroom. Fits perfectly! But what about in another classroom?
Common for natural phenomena: height, weight, etc. Most noise in the world is Often results Actually log-normal Normal because from the sum of many it’s random variables • Sample easy
Let ~ , % with CDF ≤ = . Linear transformations of X are also Normal. If = + , then ~ + , Proof: = = + = + Var
Let ~ , % . To compute the CDF, ≤ = : We cannot analytically solve the integral (it has no closed form) ...but we can solve numerically using a function Φ: − = Φ CDF of the Standard Normal,
*particularly useful when we have closed book exams with no calculator** **we have open book exams with calculators this quarter Knowing how to use a Standard Normal Table will still be useful in our understanding of Normal RVs. Let ~ , % . What is Rewrite in terms of standard normal CDF Linear transforms of Normals are Normal: Then, look up in a S...
Standard Normal Distribution Tables STANDARD NORMAL DISTRIBUTION: Table Values Re resent AREA to the LEFT of the Z score. -3.9 -3.8 -3.6 -3.5 -3.3 -3.2 -3.1
Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = .9750. z. .0.
