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STATS Study Guide

by: Claudia Villalobos

STATS Study Guide STAT 2480 - 007

Claudia Villalobos

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About this Document

Probability, Random Variables, and Formulas
Elementary Statistical Methods
Dr. Lin
Study Guide
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This 2 page Study Guide was uploaded by Claudia Villalobos on Tuesday October 18, 2016. The Study Guide belongs to STAT 2480 - 007 at University of Texas at El Paso taught by Dr. Lin in Fall 2016. Since its upload, it has received 7 views.


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Date Created: 10/18/16
STATS Exam 2 Review Probability = long-run relative frequency Weak Law of Large Numbers = tells us that the relative frequencies will converge in the long run Ways to Compute Probability: 1. Estimate by simulation 2. The counting rule (only when the sample space consists of equally likely outcomes) Conditional Probability = P(A l B) = P(A n B)/P(B) Independence = A and B are independent events whenever any ONE of the following holds:  P(A l B) = P(A)  P(B l A) = P(B)  P(A n B) = P(A)*P(B) If any of these holds, than the other two must be true, too These Prob. Rules ALWAYS hold: 1. P(A u B) = P(A) + P(B) – P(A n B) 2. P(Ac) = 1 – P(A) 3. P(A n B) = P(A l B) = P(B l A)*P(A) Specialty Rules 1. If A and B are independent events, then P(A n B)= P(A)*P(B) 2. If A and B are mutually exclusive (disjoint), then P(A u B) = P(A) + P(B) *If A and B are disjoint, find P(A l B) Random Variable: A variable whose possible values are numerical outcomes of a random phenomenon. Discrete or Continuous -DISCRETE is counted, CONTINUOUS is measured. Density Curve: Any curve that is always on or above the horizontal axis and has an area equal to 1. -Area under the curve in a range of values indicates the proportion of values in that range. -Come in a variety of shapes, but the “normal” bell-shaped distribution is most commonly used.


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