PPT-14 – 7c Probability

14 7c Probability The probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring Usually expressed as fractions What is the probability of the spinner landing on green. With an Emphasis on Contingency . Tables. Students in PSYC 2101. Skip to Slide . # 7. . Random Variable. A . random variable. is real valued function defined on a sample space. .. The . sample space. AS91585. The language of probability questions. .. Section One. The question, "Do you smoke?" was asked of 100 people. . .. Yes. No. Total. Male. 19. 41. 60. Female. 12. 28. 40. Total. 31. 69. 100. The results are shown in the table.. B. y. Daniel Christie. Probability. In a class of four brunettes, two blondes, and two people with black hair, what is the probability that any given person would be blonde?. 1/4. Venn Diagrams. Tree Diagrams. Joyeeta Dutta-Moscato. May 24, 2016. There are three kinds of lies: lies, damned lies and statistics. . - Mark Twain, attributed to Disraeli. Sample vs population. Central tendency: Mean, median, mode. Random Variables. Definition:. A rule that assigns one (and only one) numerical value to each simple event of an experiment; or. A function that assigns numerical values to the possible outcomes of an experiment.. calculus. 1 ≥ . Pr. (h) ≥ 0. If e deductively implies h, then Pr(h|e) = 1. .. (disjunction rule) If h and g are mutually exclusive, then . Pr. (h or g) = . Pr. (h) . Pr. (g). (disjunction rule) If h and g are . Probability Terminology. Classical Interpretation. : Notion of probability based on equal likelihood of individual possibilities (coin toss has 1/2 chance of Heads, card draw has 4/52 chance of an Ace). Origins in games of chance.. What we learned last class…. We are not good at recognizing/dealing with randomness. Our “random” coin flip results weren’t streaky enough.. If B/G results behave like independent coin flips, we know how many families to EXPECT with 0,1,2,3,4 girls.. Probability is used all of the time in real life. Gambling . Sports. Weather. Insurance. Medical Decisions. Standardized Tests. And others. Definition of Probability. “The . likelihood of something . Conditional Probability. Conditional Probability: . A probability where a certain prerequisite condition has already been met.. Conditional Probability Notation. The probability of Event A, given that Event B has already occurred, is expressed as P(A | B).. Slide . 2. Probability - Terminology. Events are the . number. of possible outcome of a phenomenon such as the roll of a die or a fillip of a coin.. “trials” are a coin flip or die roll. Slide . Sixth Edition. Douglas C. Montgomery George C. . Runger. Chapter 2 Title and Outline. 2. 2. Probability. 2-1 Sample Spaces and Events . 2-1.1 Random Experiments. 2-1.2 Sample Spaces . calculus. 1 ≥ . Pr. (h) ≥ 0. If e deductively implies h, then Pr(h|e) = 1. .. (disjunction rule) If h and g are mutually exclusive, then . Pr. (h or g) = . Pr. (h) + . Pr. (g). (disjunction rule) If h and g are . 4. Compute the number of combinations of . n. individuals taken . k. at a time.. Use . combinations to calculate probabilities.. Use . the multiplication counting principle and combinations to calculate probabilities..