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An Extra Point Quiz “Are You Smarter than a Pre-Calc Student” is a game in which the first 10 questions the class is playing the game together to earn extra credit points that are accumulated as a group. If the game advances to the bonus question, the students will then be playing individually to risk +/- 5 more extra credit points. In the classroom designate 10 students to act as the “players” in for the game. The remaining classroom students will act as “classmates” and the “audience” in the game. The student “players” will each pick a number between 1 and 10. The number will correspond to the questions for which that student will act as the player. Play starts with question and player number 1. During play, each player can choose a pre-calc "classmate", who may be called upon for assistance. For each question there will be a new “player” and a new “classmate” is picked from those who have not yet played in that game. Once the question is read, the player will have 60 seconds to answer the question. Play starts with question and player number 1. During play, each player can choose a pre-calc "classmate", who may be called upon for assistance. For each question there will be a new “player” and a new “classmate” is picked from those who have not yet played in that game. Once the question is read, the player will have 60 seconds to answer the question. Players have four forms of answer-assistance options (one each per game (up to, but not including, the bonus question)): Peek – The Player is Shown his/her classmates answer and may choose to go along with it or not, however, they must answer the question upon “peeking”. Copy – The player is locked into using their classmates answer, without being able to see it first. Save – If the player answers incorrectly but his/her classmate is correct, they are credited with a correct answer. Class – The audience may be asked for assistance. Question 1 Question 1 – What is the mean of this set of data? 7, 12, 12, 15, 19 1 Extra Credit Point Question 1 Answer = 13! 1 Extra Credit Point Did You Flunk Out? (Game Over!) If not, continue on! Question 2 Question 2 – If you roll 2 normal dice, what are the odds of a sum of 10 or more. 2 Extra Credit Points Drop Out? (Take All Accumulated Points and Quit) Stay In School? (Earn More Extra Credit!) Question 2 Answer = 1/6! 2 Extra Credit Points Did You Flunk Out? (Game Over!) If not, continue on! Question 3 Question 3 – In a deck of cards what is the probability of drawing a king or a diamond? 3 Extra Credit Points Drop Out? (Take All Accumulated Points and Quit) Stay In School? (Earn More Extra Credit!) Question 3 Answer = 4/13 OR 16/52! 3 Extra Credit Points Did You Flunk Out? (Game Over!) If not, continue on! Question 4 Question 4 – In a normal probability distribution, what % of the area under the curve falls within one standard deviation? 4 Extra Credit Points Drop Out? (Take All Accumulated Points and Quit) Stay In School? (Earn More Extra Credit!) Question 4 Answer = 68% 4 Extra Credit Points Did You Flunk Out? (Game Over!) If not, continue on! Question 5 Question 5 – A box contains 3 yellow, 2 red, 4 green and 3 black marbles. Two marbles are taken one after the other at random from the box. What is the probability that both marbles are red? 5 Extra Credit Points Drop Out? (Take All Accumulated Points and Quit) Stay In School? (Earn More Extra Credit!) Question 5 Answer = 1/66 5 Extra Credit Points Did You Flunk Out? (Game Over!) If not, continue on! CONGRATULATIONS! Each student is is “Guaranteed” to leave with at least 5 extra credit points Question 6 Question 6 – Is numerical information obtained from a population called a parameter or a statistic? 6 Extra Credit Points Drop Out? (Take All Accumulated Points and Quit) Stay In School? (Earn More Extra Credit!) Question 6 Answer = Parameter 6 Extra Credit Points Did You Flunk Out? (Game Over – but you still have 5 extra credit points!) If not, continue on! Question 7 Question 7 – If you flip a coin 3 times, what is the probability that you get exactly two tails? 7 Extra Credit Points Drop Out? (Take All Accumulated Points and Quit) Stay In School? (Earn More Extra Credit!) Question 7 Answer = 3/8 7 Extra Credit Points Did You Flunk Out? (Game Over – but you still have 5 extra credit points!) If not, continue on! Question 8 Question 8 – Binomial experiments have all the following features except: A. B. C. Fixed # of trials, n Trials are independent and repeated under identical conditions Each trial has an infinite number of outcomes 8 Extra Credit Points Drop Out? (Take All Accumulated Points and Quit) Stay In School? (Earn More Extra Credit!) Question 8 Answer = C. Each trial has an infinite number of outcomes (each trial actually has two possible outcomes – success or failure) 8 Extra Credit Points Did You Flunk Out? (Game Over – but you still have 5 extra credit points!) If not, continue on! Question 9 Question 9 – Which of the following numbers cannot be a probability? A. B. C. D. E. 0.5 1.001 0 1 20% 9 Extra Credit Points Drop Out? (Take All Accumulated Points and Quit) Stay In School? (Earn More Extra Credit!) Question 9 Answer = B 1.001 (Probability always must be ≥0 and ≤1) 9 Extra Credit Points Did You Flunk Out? (Game Over – but you still have 5 extra credit points!) If not, continue on! Question 10 Question 10 – You pay $1 and draw a card from a full set of cards. If you get $3 for any Ace or $2 for a heart (n/i Ace), how much money can you expect to net per draw on average? 10 Extra Credit Points Drop Out? (Take All Accumulated Points and Quit) Stay In School? (Earn More Extra Credit!) Question 10 Answer = Expect to lose an average of $0.31 per draw 10 Extra Credit Points Did You Flunk Out? (Game Over – but you still have 5 extra credit points!) If not, continue on! Final Bonus Question Every Student is Now on their own with no help! Final Bonus Question Every Student is Now on their own with no help! – A box contains one bill of each $1, $5, $10, $20, $50, $100. If you randomly draw 3 bills, what are the odds the 3 bills will equal $75? 15 Extra Credit Points Drop Out? (Take 10 Points and Quit) Stay In School? (Earn 15 Extra Credit Points if correct! If incorrect, only 5 total extra credit points!) Final Bonus Question Answer = 1/20 15 Extra Credit Points Did You Flunk Out? (Game Over – but you still have 5 extra credit points!) IF YOU ANSWERED CORRECTLY……… CONGRATULATIONS! You are each Smarter than a Pre-Calc Student! (and you have 15 Extra Credit Points)