MM_207_Seminar_4

MM_207_Seminar_4 - Elementary Probability Theory MM207:...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Elementary Probability Theory MM207: Statistics Unit 4 Seminar LEARNING OUTCOMES Define probability and know how it relates to the outcomes of random events Understand how the probabilities of multiple events are related Use a tree diagram to display the outcomes of experiments consisting of multiple events Use counting techniques to determine the number of possible outcomes Statistics & Probability Statistics (p. 5): The study of how to collect, organize, analyze, and interpret numerical information Probability (p. 160): A numerical measure between 0 and 1 that describes the likelihood that an event will occur Probability & Its Complement Probability of an event # of favorable outcomes Total # of outcomes Given 2 red balls & 3 green balls Complement of a probability: the probability that it does not occur 2 P( red ball ) = 5 3 P (not red ball ) = 5 Probability of AND MULTIPLY Independent: P(A & B) = P(A)*P(B) P( red ball & green ball) if ball is replaced before the second one is chosen Dependent: P(A & B) = P(A)*P(B|A) P( red ball & green ball) if ball is not replaced before the second one is chosen Probability of OR ADD Mutually Exclusive P(A or B) = P(A) + P(B) NOT Mutually Exclusive P(A or B) = P(A) + P(B) P(A & B) See example on p. 178 Also, see p. 181 for general rules Tree Diagram Toss a Coin 3 Times Permutation & Combination Permutation (ORDER matters) 7 people running in a race, how many different ways can someone finish first, second, third? P 7, 3 Combination (order does not matter) 7 people running in a race, how many different ways they finish the race? C 7, 3 ...
View Full Document

Ask a homework question - tutors are online