STA 261 Exam 1 Miami University Exam Questions with 100% Correct Answers

Probability of an outcome Correct Answer probability of a particular outcome is the proportion of times that the outcome would occur in a long run of observations Trial Correct Answer Each simulated roll of a die, or any experiment being conducted Cumulative proportion Correct Answer At each value for the number of trials, found by after a certain number of trials, divide the number of outcomes at that stage by the number of trials. Independent Correct Answer Different trials of a random phenomenon are _____ if the outcome of any one trial is not affected by the outcome of any other trial Disjoint/mutually exclusive events Correct Answer Events that do not share any outcomes in common Law of large numbers Correct Answer Swiss mathematician Jacob Bernoulli proved that as the number of trials increases, the proportion of occurrences of any given outcome approaches a particular number (such as 1/6) in the long run. To show this, he assumed that the outcome of any one trial does not depend on the outcome of any other trial. sample space Correct Answer For a random phenomenon, it is the set of all possible outcomes. Complement Correct Answer this consists of all outcomes in the sample space that are not in A. It is denoted by A c. The probabilities of A and of A c add to 1, so P ( A c ) = 1 − P ( A ) . Venn Diagram Correct Answer A diagram that uses areas inside a box to represent events Intersection Correct Answer it consists of the outcomes that are in both A and B. Union Correct Answer the event that the outcome is in A or B or both conditional probability Correct Answer deals with finding the probability of an event when you know that the outcome was in some particular part of the sample space. probability model Correct Answer specifies the possible outcomes for a sample space and provides assumptions on which the probability calculations for events composed of those outcomes are based.