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Active Learning Lecture Slides For use with Classroom Response Systems Chapter 6: Probability Distributions Statistics: The Art and Science of Learning from Data Second Edition by Agresti/Franklin
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Copyright © 2009 Pearson Education 6.1.1) All students in a class were asked how many times they had read the city newspaper in the past 5 days. The data is in the chart below. What proportion read the newspaper more than 3 times in the past 5 days? a) 0.1 b) 0.5 c) 0.6 d) 1.0 e) None of the above No. Times Read Newspaper Probability 00.25 10.05 20.10 3 40.15 50.35
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Copyright © 2009 Pearson Education 6.1.1) All students in a class were asked how many times they had read the city newspaper in the past 5 days. The data is in the chart below. What proportion read the newspaper more than 3 times in the past 5 days? a) 0.1 b) 0.5 c) 0.6 d) 1.0 e) None of the above No. Times Read Newspaper Probability 00.25 10.05 20.10 3 40.15 50.35
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Copyright © 2009 Pearson Education 6.1.2) All students in a class were asked how many times they had read the city newspaper in the past 5 days. The data is in the chart below. What is the expected number of times that someone will have read the newspaper in the past 5 days? a) 2.5 b) 2.9 c) 3 d) 3.9 e) None of the above No. Times Read Newspaper Probability 00.25 10.05 20.10 3 40.15 50.35
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Copyright © 2009 Pearson Education 6.1.2) All students in a class were asked how many times they had read the city newspaper in the past 5 days. The data is in the chart below. What is the expected number of times that someone will have read the newspaper in the past 5 days? a) 2.5 b) 2.9 c) 3 d) 3.9 e) None of the above No. Times Read Newspaper Probability 00.25 10.05 20.10 3 40.15 50.35
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Copyright © 2009 Pearson Education 6.1.3) Suppose there is a special new lottery in your state. Each lottery ticket is worth $20 and gives you a chance at being selected to win $2,000,000. There is a 0.0001% chance that you will be selected and win otherwise, you win nothing. Let X denote your winnings. What is the expected value of X? a)$2 b)$0 c)$2,000,000 d)$1,999,980 e)$200
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Copyright © 2009 Pearson Education 6.1.3) Suppose there is a special new lottery in your state. Each lottery ticket is worth $20 and gives you a chance at being selected to win $2,000,000. There is a 0.0001% chance that you will be selected and win otherwise, you win nothing. Let X denote your winnings. What is the expected value of X? a)$2 b)$0 c)$2,000,000 d)$1,999,980 e)$200
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Copyright © 2009 Pearson Education 6.1.4) Suppose that a random number generator can generate any number, including decimals, between 0 and 10 with any value being equally likely to be chosen. What is the probability that a number is drawn between 7 and 10? a)0.4 b)0.3 c)0.2 d)0.1 e)0.273
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Copyright © 2009 Pearson Education 6.1.4) Suppose that a random number generator can generate any number, including decimals, between 0 and 10 with any value being equally likely to be chosen. What is the probability that a number is drawn between 7 and 10? a)0.4 b)0.3 c)0.2 d)0.1 e)0.273
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Copyright © 2009 Pearson Education 6.1.5) Suppose that a random number generator can generate any number, including decimals, between 0 and 10 with any value being equally likely to be chosen. What would be the mean of this distribution? a)4.5 b)5 c)5.5 d)6 e)Cannot be determined
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Copyright © 2009 Pearson Education 6.1.5) Suppose that a random number generator can generate any number, including decimals, between 0 and 10 with any value being equally likely to be chosen. What would be the mean of this distribution? a)4.5 b)5 c)5.5 d)6 e)Cannot be determined
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Copyright © 2009 Pearson Education 6.2.1) Which of the following is NOT a property of the normal distribution? a)It is symmetric. b)It is bell-shaped. c)It is centered at the mean, 0. d)It has a standard deviation, σ. e)All of the above are correct.
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Copyright © 2009 Pearson Education 6.2.1) Which of the following is NOT a property of the normal distribution? a)It is symmetric. b)It is bell-shaped. c)It is centered at the mean, 0. d)It has a standard deviation, σ. e)All of the above are correct.
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Copyright © 2009 Pearson Education 6.2.2) Scores on the verbal section of the SAT have a mean of 500 and a standard deviation of 100. What proportion of SAT scores are higher than 450? a)0.5 b)0.5557 c)0.6915 d)0.3085 e)0.7257
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Copyright © 2009 Pearson Education 6.2.2) Scores on the verbal section of the SAT have a mean of 500 and a standard deviation of 100. What proportion of SAT scores are higher than 450? a)0.5 b)0.5557 c)0.6915 d)0.3085 e)0.7257
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Copyright © 2009 Pearson Education 6.2.3) Scores on the verbal section of the SAT have a mean of 500 and a standard deviation of 100. If someone scored at the 90 th percentile, what is their SAT score? a)608 b)618 c)628 d)638 e)648
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Copyright © 2009 Pearson Education 6.2.3) Scores on the verbal section of the SAT have a mean of 500 and a standard deviation of 100. If someone scored at the 90 th percentile, what is their SAT score? a)608 b)618 c)628 d)638 e)648
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Copyright © 2009 Pearson Education 6.2.4) What is the standard normal distribution? a)N(μ, σ) b)N(σ, μ) c)N(1,0) d)N(0,1) e)N(-z, z)
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Copyright © 2009 Pearson Education 6.2.4) What is the standard normal distribution? a)N(μ, σ) b)N(σ, μ) c)N(1,0) d)N(0,1) e)N(-z, z)
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Copyright © 2009 Pearson Education 6.2.5) There are two sections of Intro Statistics and they both gave an exam on the same material. Suppose that Megan made an 83 in 2 nd period and Jose’ made an 85 in 3 rd period. Using the information below. Who scored relatively higher with respect to their own period? 2 nd period3 rd period Mean8082 Standard Deviation56 a)Jose’ b)Megan c)They are the same. d)Cannot be determined.
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Copyright © 2009 Pearson Education 6.2.5) There are two sections of Intro Statistics and they both gave an exam on the same material. Suppose that Megan made an 83 in 2 nd period and Jose’ made an 85 in 3 rd period. Using the information below. Who scored relatively higher with respect to their own period? 2 nd period3 rd period Mean8082 Standard Deviation56 a)Jose’ b)Megan c)They are the same. d)Cannot be determined.
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Copyright © 2009 Pearson Education 6.3.1) Which of the following is NOT a condition of the binomial distribution? a)The trials are dependent. b)There are a set number of trials, n. c)The probability of success is constant from trial to trial. d) There are two possible outcomes.
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Copyright © 2009 Pearson Education 6.3.1) Which of the following is NOT a condition of the binomial distribution? a)The trials are dependent. b)There are a set number of trials, n. c)The probability of success is constant from trial to trial. d) There are two possible outcomes.
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Copyright © 2009 Pearson Education 6.3.2) Suppose that you flipped an unbalanced coin 10 times. Suppose that the probability of getting “heads-up” was 0.3 and that X equals the number of times that you get “heads-up”. If X has a binomial distribution, what is the probability that X = 4? a)0.20 b)0.25 c)0.30 d)0.50
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Copyright © 2009 Pearson Education 6.3.2) Suppose that you flipped an unbalanced coin 10 times. Suppose that the probability of getting “heads-up” was 0.3 and that X equals the number of times that you get “heads-up”. If X has a binomial distribution, what is the probability that X = 4? a)0.20 b)0.25 c)0.30 d)0.50
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Copyright © 2009 Pearson Education 6.3.3) Suppose that you flipped an unbalanced coin 10 times. Suppose that the probability of getting “heads-up” was 0.3 and that X equals the number of times that you get “heads-up”. If X has a binomial distribution, what is the expected value and standard deviation of X? a)Expected value = 3 Standard Deviation = 2.1 b)Expected value = 3 Standard Deviation =.145 c)Expected value = 0.3 Standard Deviation =.145 d)Expected value = 0.3 Standard Deviation = 1.45 e)Expected value = 3 Standard Deviation = 1.45
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Copyright © 2009 Pearson Education 6.3.3) Suppose that you flipped an unbalanced coin 10 times. Suppose that the probability of getting “heads-up” was 0.3 and that X equals the number of times that you get “heads-up”. If X has a binomial distribution, what is the expected value and standard deviation of X? a)Expected value = 3 Standard Deviation = 2.1 b)Expected value = 3 Standard Deviation =.145 c)Expected value = 0.3 Standard Deviation =.145 d)Expected value = 0.3 Standard Deviation = 1.45 e)Expected value = 3 Standard Deviation = 1.45
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Copyright © 2009 Pearson Education 6.3.4) Suppose that a college level basketball player has an 80% chance of making a free throw. Suppose that he shoots 8 free throws in a game. What is his expected number of baskets? a)0.8 b)1 c)6.4 d)7.2 Copyright © 2009 Pearson Education
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6.3.5) Suppose that a college level basketball player has an 80% chance of making a free throw. Suppose that he shoots 8 free throws in a game. What is the probability that he makes 7 baskets? a)0.042 b)0.167 c)0.294 d)0.336 e)0.80
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Copyright © 2009 Pearson Education 6.3.5) Suppose that a college level basketball player has an 80% chance of making a free throw. Suppose that he shoots 8 free throws in a game. What is the probability that he makes 7 baskets? a)0.042 b)0.167 c)0.294 d)0.336 e)0.80
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