Unformatted text preview: Welcome to EAS 305!! Applied Probability & Sta9s9cs Inference Agenda • • • • • • • What is “probability” and “sta9s9cs” Why do we study “probability” and “sta9s9cs” Our goals Your goals? Pictures? Syllabus Quiz What is “probability” • 1: the quality or state of being probable • 2: something (as an event or circumstance) that is probable • 3 a (1): the ra9o of the number of outcomes in an exhaus9ve set of equally likely outcomes that produce a given event to the total number of possible outcomes (2): the chance that a given event will occur • 3b: a branch of mathema/cs concerned with the study of probabili/es • 4: a logical rela9on between statements such that evidence conﬁrming one conﬁrms the other to some degree hTp://www.merriam‐webster.com/dic9onary/probability What is “sta9s9cs” • 1 : a branch of mathema9cs dealing with the collec9on, analysis, interpreta9on, and presenta9on of masses of numerical data • 2 : a collec9on of quan9ta9ve data hTp://www.merriam‐webster.com/dic9onary/ sta9s9cs My Understanding Uncertain Facts Before A]er Probability Learning Sta/s/cs Why do we study those? • World is uncertain – Science is uncertain – Engineering is uncertain – Human being is uncertain!! Some uncertain/es are important Others may be not What we are going to learn • Chapters 1‐11 of the textbook – Random Variables – Expecta9on and Joint Probability Distribu9ons – Some important Probability Distribu9ons – Introduc9on to sta9s9cs – Random Samples – Parameter Es9ma9on – Test of Hypothesis Goals • Our goals – Teach you the material – Make you happy – Develop our teaching and communica9on skills • How could we do that? – See syllabus soon… • What is your goal? – How would you do that? • Syllabus… ...
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- Spring '10
- equally likely outcomes, uncertain – Engineering, uncertain – Human, Joint Probability Distribu9ons, important Probability Distribu9ons