CH 05 discrete probability distributions Test bank Statistics for Business and Economics 11e

CH 05 - Discrete Probability Distributions Which of the following is a characteristic of an experiment where the binomial probability distribution is applicable? a The experiment has at least two possible outcomes b Exactly two outcomes are possible on each trial c The trials are dependent on each other d The probabilities of the outcomes changes from one trial ANSWER: b POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.05 - Binomial Probability Distribution NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Remember A numerical description of the outcome of an experiment is called a Copyright Cengage Learning Powered by Cognero Page CH 05 - Discrete Probability Distributions a descriptive statistic b probability function c variance d random variable ANSWER: d POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.01 - Random Variables NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Remember A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a a uniform probability distribution Copyright Cengage Learning Powered by Cognero Page CH 05 - Discrete Probability Distributions b binomial probability distribution c hypergeometric probability distribution d normal probability distribution ANSWER: b POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.05 - Binomial Probability Distribution NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Understand A continuous random variable may assume a any numerical value in an interval or collection of intervals b finite number of values in a collection of intervals Copyright Cengage Learning Powered by Cognero Page CH 05 - Discrete Probability Distributions c an infinite sequence of values d only the positive integer values in an interval ANSWER: a POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.01 - Random Variables NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Remember A description of the distribution of the values of a random variable and their associated probabilities is called a a probability distribution b empirical discrete distribution c bivariate distribution Copyright Cengage Learning Powered by Cognero Page CH 05 - Discrete Probability Distributions d table of binomial probability ANSWER: a POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.02 - Developing Discrete Probability Distributions NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Remember Which of the following is a required condition for a discrete probability function? a ∑f(x) = for all values of x b f(x) for all values of x c f(x) < for all values of x Copyright Cengage Learning Powered by Cognero Page CH 05 - Discrete Probability Distributions d ∑f(x) = for all values of x ANSWER: d POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.02 - Developing Discrete Probability Distributions NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Remember A measure of the average value of a random variable is called a(n) a variance b standard deviation c expected value d coefficient of variation Copyright Cengage Learning Powered by Cognero Page CH 05 - Discrete Probability Distributions ANSWER: c POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.03 - Expected Value and Variance NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Remember Which of the following is a required condition for a discrete probability function? a f(x) for all values of x b ∑f(x) = for all values of x c ∑f(x) = for all values of x Copyright Cengage Learning Powered by Cognero Page CH 05 - Discrete Probability Distributions d ∑f(x) for all values of x ANSWER: b POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.02 - Developing Discrete Probability Distributions NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Understand A weighted average of the values of a random variable, where the probability function provides weights, is known as a the probable value b the median value c the expected value d the variance Copyright Cengage Learning Powered by Cognero Page CH 05 - Discrete Probability Distributions ANSWER: c POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.03 - Expected Value and Variance NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Remember 10 An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment The random variable in this experiment is a a discrete random variable b continuous random variable c mixed type random variable d multivariate random Copyright Cengage Learning Powered by Cognero Page CH 05 - Discrete Probability Distributions variable ANSWER: b POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.01 - Random Variables NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Understand 11 The number of customers that enter a store during one day is an example of a a continuous random variable b.a discrete random variable c either a continuous or a discrete random variable, depending on whether odd or even number of the customers enter d.either a continuous or a discrete random variable, depending on the gender of the Copyright Cengage Learning Powered by Cognero Page 10 CH 05 - Discrete Probability Distributions LEARNING OBJECTIVES: BSST.ASWC.17.05.07 - Hypergeometric Probability Distribution NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Remember 115 Experimental outcomes that are based on measurement scales such as time, weight, and distance can be described by _ random variables a discrete b continuous c uniform d intermitten t ANSWER: b POINTS: DIFFICULTY: Easy Copyright Cengage Learning Powered by Cognero Page 136 CH 05 - Discrete Probability Distributions LEARNING OBJECTIVES: BSST.ASWC.17.05.01 - Random Variables NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Remember 116 Which of the following properties of a binomial experiment is called the stationarity assumption? a The experiment consists of n identical trials b Two outcomes are possible on each trial c The probability of success is the same for each trial d The trials are independent ANSWER: c POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.05 - Binomial Probability Distribution Copyright Cengage Learning Powered by Cognero Page 137 CH 05 - Discrete Probability Distributions NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Remember 117 A name closely associated with the binomial probability distribution is a Bernoulli b de Moivre c Pareto d Poisson ANSWER: a POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.01 - Random Variables NATIONAL STANDARDS: United States - BUSPROG: Analytic Copyright Cengage Learning Powered by Cognero Page 138 CH 05 - Discrete Probability Distributions STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Remember 118 The use of the relative frequency method to develop discrete probability distributions leads to what is called a a binomial discrete distribution b empirical discrete distribution c non-uniform discrete distribution d uniform discrete distribution ANSWER: b POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.02 - Developing Discrete Probability Distributions NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions Copyright Cengage Learning Powered by Cognero Page 139 CH 05 - Discrete Probability Distributions KEYWORDS: Bloom's: Remember 119 Experiments with repeated independent trials will be described by the binomial distribution if a the trials are continuous b each trial result influences the next c the time between trials is constant d each trial has exactly two outcomes whose probabilities not change ANSWER: d POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.05 - Binomial Probability Distribution NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Understand Copyright Cengage Learning Powered by Cognero Page 140 CH 05 - Discrete Probability Distributions 120 The probability distribution for the number of goals the Lions soccer team makes per game is given below Number of Goals Probability 0.05 0.15 0.35 0.30 0.15 The expected number of goals per game is a b 2.35 c 2.5 d ANSWER: b Copyright Cengage Learning Powered by Cognero Page 141 CH 05 - Discrete Probability Distributions POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.03 - Expected Value and Variance NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's : Apply 121 The probability distribution for the number of goals the Lions soccer team makes per game is given below Number of Goals Probability 0.05 0.15 0.35 0.30 Copyright Cengage Learning Powered by Cognero Page 142 CH 05 - Discrete Probability Distributions 0.15 What is the probability that in a given game the Lions will score less than goals? a .85 b .55 c .45 d .80 ANSWER: b POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.02 - Developing Discrete Probability Distributions NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions Copyright Cengage Learning Powered by Cognero Page 143 CH 05 - Discrete Probability Distributions KEYWORDS: Bloom's: Understand 122 The probability distribution for the daily sales at Michael's Co is given below Daily Sales ($1,000s) Probability 40 0.1 50 0.4 60 0.3 70 0.2 The expected daily sales are a $50,000 b $55,000 c $56,000 d $60,000 Copyright Cengage Learning Powered by Cognero Page 144 CH 05 - Discrete Probability Distributions ANSWER: c POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.03 - Expected Value and Variance NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's : Apply 123 In a Poisson probability problem, the rate of defects is one every two hours To find the probability of three defects in four hours, a µ= 1, x = b µ= 2, x = c µ= 3, x = d µ= 4, x = ANSWER: b Copyright Cengage Learning Powered by Cognero Page 145 CH 05 - Discrete Probability Distributions POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.06 - Poisson Probability Distribution NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Understand 124 A binomial probability distribution with p = is a negatively skewed b symmetric c positively skewed d multi-modal ANSWER: c Copyright Cengage Learning Powered by Cognero Page 146 CH 05 - Discrete Probability Distributions POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.05 - Binomial Probability Distribution NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Understand 125 In a binomial experiment consisting of five trials, the number of different values that x (the number of successes) can assume is a b c d 10 ANSWER: c POINTS: Copyright Cengage Learning Powered by Cognero Page 147 CH 05 - Discrete Probability Distributions DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.05 - Binomial Probability Distribution NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Understand 126 The weight of an object, measured to the nearest gram, is an example of a a continuous random variable b a discrete random variable c a nominal random variable d a mixed type random variable ANSWER: b POINTS: DIFFICULTY: Easy Copyright Cengage Learning Powered by Cognero Page 148 CH 05 - Discrete Probability Distributions LEARNING OBJECTIVES: BSST.ASWC.17.05.01 - Random Variables NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Understand 127 The probability distribution for the number of goals the Lions soccer team makes per game is given below Number Of Goals Probability 0.05 0.15 0.35 0.30 0.15 What is the probability that in a given game the Lions not score more than goals? a 0.20 Copyright Cengage Learning Powered by Cognero Page 149 CH 05 - Discrete Probability Distributions b 0.55 c 1.0 d 0.95 ANSWER: b POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17.05.02 - Developing Discrete Probability Distributions NATIONAL STANDARDS: United States - BUSPROG: Analytic STATE STANDARDS: United States - AK - DISC: Probability Distributions KEYWORDS: Bloom's: Apply Copyright Cengage Learning Powered by Cognero Page 150 ... Page CH 05 - Discrete Probability Distributions d table of binomial probability ANSWER: a POINTS: DIFFICULTY: Easy LEARNING OBJECTIVES: BSST.ASWC.17 .05. 02 - Developing Discrete Probability Distributions. .. Page 21 CH 05 - Discrete Probability Distributions 23 The Poisson probability distribution is used with a a continuous random variable b a discrete random variable c either a continuous or discrete. .. local store Demand Probability 0.1 Copyright Cengage Learning Powered by Cognero Page 32 CH 05 - Discrete Probability Distributions 0.2 0.3 0.2 0.2 The probability of having a demand for at least