Introductory Statistics CH 5 Notes
Introductory Statistics CH 5 Notes MATH 10041-007
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This 3 page Class Notes was uploaded by Marissa Nichol on Thursday October 15, 2015. The Class Notes belongs to MATH 10041-007 at Kent State University taught by Xianglan Bai in Summer 2015. Since its upload, it has received 21 views. For similar materials see INTRODUCTORY STATISTICS in Math at Kent State University.
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Date Created: 10/15/15
INTRODUCTORY STATISTICS CH 5 51 no purpose or aim STATISTICAL RANDOMNESS no predictable pattern no values are shown more than another one HARD TO ACHIEVE WITHOUT TECHNOLOGY computer generate random numbers that are generated by a seed value that starts at a randomsequence a repeated value of data next to each other ex when ipping heads or tails amp getting heads twice in a row quotstreak of two headsquot long streaks make randomnesschance look like a pattern but they aren t used to determine how often randomness occurs theoretical probability relies on theory Long run relative frequencies that happens an in nite amount of repetitions empirical probability based on experiment Short run relative frequencies ex get 610 heads when ipping heads or tails Empirical probability 0660 DIFFERENCE BETWEEN THEORETICAL AND EMPIRICAL theoretica probabilities values are always the same empirica probabilities values change in every experiment theoretica abstract empirica estimatetest of theoretical probabilities experiments that produce empirical probabilities Investigators aim for the experiments to stimulate the situation being examined 52 the opposite of the event that occurred The quotdid notquot of events Ex the complement of quotit rained todayquot quotit did not rain todayquot SUMMARY OF PROBABILITY RULES RULE 1 a probability always equals a number from 01 0100 Can be written as decimal percent or fraction 0 amp 1 not acceptable RULE 2 the probability of an event not occurring 1 minus the probability that the event will occur PAc 1 PA RULE 3 following equation is only true for equally likely outcomes PROBABILITY OF A PA OF OUTCOMES IN A NUMBER OF ALL POSSIBLE OUTCOMES a list of all of the possible outcomes Represented with the letter S any collection of outcomes in a sample space way to visualize a situation The word quotandquot creates a new event out of two other events The word quotorquot means a subject only has one or the other event WHEN TWO EVENTS HAVE NO OUTCOMES IN COMMON THEY ARE MUTUALL EXCLUSIVE 53 focusing on one group of objects and choosing a random sample from that speci c group when one group or event is affected by the other when the variables of each event aren t related to each other at all 54 a theorem that determines if the simulation or empirical experiment is designed correctly
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