Chapter 4 Probability Concepts

Chapter 4 Probability Concepts Question and Answer 2023. Probability Theory Correct Answer: science of uncertainty; enabling evaluation & control likelihood that a statistical inference is correct Probability for Equally Likely Outcomes Correct Answer: f (# of ways event can occur) divided by N (total # of possible outcomes Experiment Correct Answer: an action whose outcome cannot by predicted with certainty Event Correct Answer: some specified result that may/may not occur when an experiment is performed Frequentist Interpretation of Probability Correct Answer: construes the probability of an event to be the proportion of times it occurs in a large number of repetitions of the experiment Basic Properties of Probabilities Correct Answer: 1. probability of an event is between 0 & 1, inclusive 2. probability of an event that cannot occur is 0 (impossible) 3. probability of an event that must occur is 1 (certain) Sample Space Correct Answer: Collection of all possible outcomes for an experiment (Sample) Event Correct Answer: Collection of outcomes for the experiment; subset of sample space; an event occurs if & only if outcome of the experiment is member of the event Venn Diagrams Correct Answer: best ways to portray events & relationships among events visually; named after English logician John Venn Complement Correct Answer: Each event (E) has a corresponding event defined by the condition that "E does not occur" (not E) = E does not occur (A & B) = "both A & B occur"