Chapter 4 Discrete Probability Distributions Question and Answer 2023.

Chapter 4 Discrete Probability Distributions Question and Answer 2023. Random variableCorrect Answer: a numerical value associated with each outcome of a probability experiement discrete probability distributionCorrect Answer: lists each possible value the random variable can assume, together with its probability discrete probability distribution propertiesCorrect Answer: 1) 0≤P(x)≤1 2) sum of P(X)=1 Expected valueCorrect Answer: mean value of a random variable averaged over the sample space Mean of a Discrete Random VariableCorrect Answer: multiply each possible value by its probability, then add all the products Standard Deviation of a discrete random variableCorrect Answer: binomial experiment conditionsCorrect Answer: 1) The experiment is repeated for a fixed number of trials, where each trial is independent 2) There are only 2 possible outcomes of interest, success (S) or failure (F) 3) Probability of success P(S) is the same for each trial 4) The random variable counts the number of successful trials mean of binomialCorrect Answer: M=np variance of binomialCorrect Answer: np(1-p) or npq Standard deviation of a binomialCorrect Answer: square root of np(1-p) discrete variableCorrect Answer: a quantitative variable that has either a finite number of possible values or a countable number of possible values continuous variableCorrect Answer: a quantitative variable that has an infinite number of possible values that are not countable, represented as an interval