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DSC 205 Exam I Study Guide

# DSC 205 Exam I Study Guide - any outcome in one event is...

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Exam I Study Guide Frequency distribution - y-axis = frequency Classes : 1. take 2 k > n, k = number of classes 2. Size of classes: range = (upper-lower) 3. find width of class: k range 4. class limits or boundaries 5. relative frequency: n class in frequency _ _ 6. measurements of central tendency: a. mode: value accruing most often b. median: value above, below which we get 50% of data points (“50 th percentile”) c. mean: basic average of all data points i. Population mean = μ = N x ii. Sample mean = x = n x Variance - Population = 2 σ = N x - 2 ) ( Sample = 2 = 1 ) ( 2 - - n x x Standard Deviation - square root of variance Z Score - mean x Z - = Sample Space - the set of all possible outcomes Event - some subset of sample space: outcomes total Outcomes E P _ _# _ # ) ( = Complement - the set of all outcomes from sample space that are not in the event Intersection - set of all outcomes from sample space that are common to both events ( ) B A

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Union - any outcome in either A or B or both Mutually Exclusive
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Unformatted text preview: - any outcome in one event is excluded from the other event Addition Rule- ) ( ) ( ) ( ) ( B A P B P A P B A P ∩-+ = ∪ Independence- if ) ( ) ( B A P A P ⊥ = then it is independent Multiplication Rule- ) ( ) ( ) ( A B P A P B A P ⊥ ⋅ = ∩ Random Variable- a variable that assumes numerical values based on the outcome • Continuous- it assumes values within a range of values on number line (no gaps or holes) • Discrete- has a finite number of values Probability Distribution- define a random variable and have all of its values have all its probabilities 1 ) ( ) ( ≤-= ≤ x X P x P • “OR” means ADD • “AND” means MULTIPLY Binomial Experiment 1. must be able to perform “n” times with same result 2. trials MUST be INDEPENDENT; probability of success on any trial is same 3. RV counts # successes...
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DSC 205 Exam I Study Guide - any outcome in one event is...

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