LaRoche College MATH 1040 FALL 17 Carell Test on 4 Probability and Statistics Joseph R. Iannuzzi Directions: 1. PLEASE PLACE YOUR NAME ON THE TEST AND SEND THE FILE WITH YOUR NAME AS PART OF THE FILE NAME 2. Fill in your answers on this form. 3. Each answer is worth various points ; I will turn the correct number of answers into a percentage. 4. Your completed response is due on or before 11.59 PM on FRIDAY, OCTOBER 20, 2017 5. Any instances of plagiarism or cheating will be reported to the Academic Dean. LAST NAME BEGINS WITH C F I L O R U X LAROCHE COLLEGE CCCCCCCC PROB/STATS FALL17 NAME______________________________________ TEST-CHAPTER 4 1. USE A REGULAR DECK FOR THIS QUESTION A game is played by drawing a FOUR cards out of a regular deck WITH replacement ; find the probability of getting all FOUR cards to be A HEART. *************Express your answer as a 4 PLACE decimal. 2. A lottery machine has 15 balls in it. The balls are numbered like this 4,2,3,4,5,6,7,8,2,4,6,8,2,4,6 and are mixed thoroughly. The machines \"spits\" out one ball at random. Find the probability that the machine will spit out an ODD numbered ball. Express your answer as an unreduced fraction or a 3 place decimal. The probability that on Monday, a viewer will watch an episode of the show Blacklist is 29.36%. 1,300,000 people watched Blacklist last Monday. What is the probability that a viewer WILL NOT watch an episode of Blacklist on Monday ? Express your answer as a fraction or a 2 place decimal or percent. USE A REGULAR DECK FOR THIS QUESTION A game is played by drawing a TWO cards out of a regular deck WITHOUT replacement ; find the probability of getting AT LEAST ONE KING *************Express your answer as a 4 place decimal or an unreduced fraction. NOT A SIMPLE PROBLEM ! 3. 4. 5. On the flight from Rome to New York, Mona, the flight attendant wheeled her cart which contained 16 cans of Pepsi, 24 cans of Coke and 18 cans of iced tea. A passenger asked her to give him a can at random; find the probability that the can is a not AN ICE TEA ? Leave answer as an unreduced fraction. 6. Remove ALL of the red cards from a regular deck of cards. DO NOT CONSIDER THESE CARDS IN THE NEXT PART OF THE PROBLEM. One card is drawn from the remaining cards. Find the probability that the card drawn is NOT a CLUB ( place decimal. 7. ) Express your answer as a fraction or a 2 In the above problem #6, what is the probability of drawing a BLACK card? Express your answer as a fraction or a 2 place decimal. 8. 9. 10 . What type of probability is displayed by the game in Problem #2 ? a. Empirical b. Classical c. Subjective d. none of these What type of probability is displayed in Problem #3 a. Empirical b. Classical c. Subjective d. none of these Monument Males Females Children Totals Jefferson 206 Washington DC Visitors Lincoln 501 Washington 707 Totals 1414 312 620 932 1864 125 402 427 954 643 1523 2066 4232 Find P( visited THE JEFFERSON MONUMENT ) = Express answer as unreduced fraction !!! 11 . Washington DC Visitors FROM 4- 5 PM Monument Males Females Children Jefferson Lincoln 8 9 Washington 10 Totals 27 2 6 8 16 4 5 6 15 Totals 14 20 24 58 USING THIS NEW TABLE WHICH IS FOR 4-5 PM Express answer as unreduced fraction !!! If a visitor is selected at random, find the probability that it is a male or the visitor visited the Washington Monument 12 USE THIS NEW TABLE FOR THIS PROBLEM . Four decimal places for this problem ! Monument Find the probability that a visitor is a child given that they visited the LINCOLN. Males Females Children Totals Jeffers on Lincoln Washington Totals 0.2118 0.1059 0.1176 0.4353 0.0235 0.0706 0.0941 0.1882 0.0118 0.0588 0.3059 0.3765 0.2471 0.2353 0.5176 1.0000 13 A game is played by drawing a two cards out of a regular deck . WITHOUT replacement ; find the probability that both cards are Kings. 14 . Unreduced fraction TAKE A REGULAR DECK OF CARDS; NOW REMOVE ALL OF THE CARDS FROM ACE THROUGH 5 INCLUDING ALL ACES AND ALL 5'S. THINK ABOUT WHAT YOU ARE LEFT WITH.SELECT, AT RANDOM, ONE CARD FROM THE NOW SHORTENED DECK. WHAT IS THE PROBABILITY THAT THE CARD YOU CHOSE IS BLACK ? 15 Box A has four balls in it; three BLACK and 1 WHITE Box B has five balls in it; three BLACK and two WHITE . Four decimal places for this problem ! or an unreduced fraction will do First, choose a box at random; then choose a ball at random from that box. Find the probability that the ball is black. NOTE: THIS DOES NOT REPRESENT A SIMPLE PROBLEM; THE ANSWER IS NOT OR 2/5 16 Here is a special deck of cards; THESE ARE THE ONLY CARDS YOU HAVE TO WORK WITH 1 . 4 5 7 8 J Q 0 4 5 8 4 7 9 4 5 8 9 IF YOU DRAW A CARD FROM THE DECK AT RANDOM, FIND THE PROBABILITY THAT THE CARD IS A 4 or a (club) UNREDUCED FRACTION 17 . Spin the wheel one time; find the probability that the resulting number is > 5 . All slices of the pie are equal. The wheel is currently pointing to 5 . 6 7 5 1 4 3 2 Four decimal places for this problem ! or an unreduced fraction will do 18 Spin the wheel above twice; what is the probability that on both spins, the result is EVEN ? That is odd followed by odd. Four decimal places for this problem ! or an unreduced fraction. 19. If the weather prediction service showed these two scenarios where the clouds are predictors of rainfall, which scenario ( 1 or 2 ) shows a greater probability of rain ? a. Map 1 b. Map 2 c. Both show the same d. None of these answers 20. THERE ARE 6 BLUE BALLS IN A BOX AND 6 WHITE BALLS IN THE SAME BOX. THIS GAME IS PLAYED AT FAIRS DURING THE SUMMER. YOU SELECT ONE BALL AT A TIME AND DON'T REPLACE IT. WHAT IS THE LEAST NUMBER OF SELECTIONS YOU MAKE TO BE CERTAIN YOU HAVE SELECTED A BLUE BALL ? BONUS # 1 TWO PART BONUS QUESTION Suppose the probability that someone CHEWS GUM (G) is 45% and the probability that someone PLAYS LACROSSE (L) is 70% while the probability that someone CHEWS GUM OR PLAYS LACROSSE is 85%. 1. Find the probability that a randomly selected person CHEWS GUM AND PLAYS LACROSSE. 2. Find the probability that a random person CHEWS GUM and does not PLAY LACROSSE ( CHEWS GUM GIVEN DOES NOT PLAY LACROSSE) BONUS # 2 There are three boxes with the following balls in them: Box 1 has 13 Black and 26 white balls Box 2 has 21 Black and 18 white balls Box 3 has 19 black and x white balls You choose a box at random, then choose a ball; find x. PLEASE NOTE---SOME BONUS TOPIC S HAVE NOT BEEN COVERED IN POWER POINTS, WORKSHEETS AND ASSIGNMENTS. IT IS UP TO THE STUDENT TO GATHER THE INFORMATION NEEDED