Measures of Spread Worksheet Calculate the range and standard deviation for the set of numbers. 25, 58, 81, 43, 56, 91, 21, 72 A game show audience contains 164 people. Three members of the audience will be selected at random to win a door prize. Express the probability of winning a prize as a fraction Express the probability of winning a prize as a percent to one decimal place. Suppose the probability of successfully making a particular golf shot is determined to be 7%. In general, how many attempts should a golfer expect to make before being successful? In a school-wide survey, 37 out of 120 students responded that they walk to school every day. In baseball, a players 0.245 batting average means that for every 1000 batting attempts, the player is predicted to get 245 hits. a) As a fraction, what is the probability that a player with a 0.273 batting average will get a hit the next time at bat? As a fraction AND as a percent to one decimal place, what is the probability that a player with a 0.318 batting average will get a hit the next time at bat? A charity carnival game offers a payout of 6:1 for any player who wins at the game. In other words, if you wager 1 token, you may win an additional 6 tokens. If the game is fair, what is the probability the game? Express your answer as a percent to one decimal place. In a gumball machine there are 22 red, 14 orange, 9 green and 15 white gumballs. You decide to purchase a gumball from the machine. Suppose you roll a pair of dice Complete this chart showing all of the possible totals when rolling the dice. Second Die 2 24 First 3:6 b) Use the chart you completed above in order to determine the theoretical probability for each of the following events. Express each answer as a fraction in lowest terms. The sum of the values rolled on the dice is 7 The sum of the values rolled on the dice is greater than 7 The values rolled on the dice are not the same. A spinner is shown on the right. Suppose a person spins this spinner once. Use a formula to determine the theoretical probability for each of these events. Express each answer as a percent. 3 2 a) Spinning an even number that is not green. b) Spinning a number less than 4 that is not red C ) Spinning an odd number that is red or green. A carnival game called "Crazy Strings" requires a player to pull one of the attached to a prize. If the game operator wants win one chosen string is players to win at the game, how many of the strings should be a prize? Suppose you flip a coin three times in a row three flips. Create a tree diagram that shows all of the possible outcomes from the b ) Determine the theoretical probability of having the coin land on tails exactly two times. Express your answer as a percent to one decimal Alicia conducted an experiment with a pair of six-sided dice. With each roll, she added the value of the dice. Her results are shown below: 3 12 10 8 WAW NVOY How many trials did Alicia perform? How do you know? b) Determine the experim in lowest terms . ntal probability of rolling a 9. Answer as a fraction C) Determine the e in lowest terms. ty of rolling a 7. Answer as a fraction d) Why are the experimental probability results in parts b and c surpris What could Alicia do in orde icia do in order to improve the results of her experiment i.e.. reduce the number of "surprises"? Carter flipped a coin 1000 times and calculated an experimental probability of 48.8%. Allanah flipped a coin twice and got an experimental probability of 50%. She concluded that her results are "better." Is Allanah correct? Explain A donut shop carries six different kinds of jelly-filled donuts, including their famous "pineapple-filled" flavour. When Clarice ord dered a mixed dozen of the jelly-filled donuts, the server put two of each kind into the box. On her way home, Clarice ran into Patrick and offered him a donut. Patrick picked one from the box and informed Clarice that he hoped it was not pineapple-filled since he was allergic to pineapple. What is the theoretical probability that Patrick's donut is pineapple-filled? b) If you were to simulate this situation with an experiment, you would not need twelve items but could conduct the experiment with only six items. Explain why this is true. A survey was conducted in the parking lot of a local mall. Of the 284 people surveyed, 162 owned a cell phone. Of the 162 people who cell phones, 138 said they have sed their cell phone while driving. a) Why do you think the survey was conducted in a parking lot? Assuming the survey results are reliable, what is the probability that a person selected at random owns a cell phone sa cell phone? Express your answer as a decimal to two decimal places. C) What is the probability that a cell-phone owner has used his/her cell phone while driving? Express your answer as a percent to one decimal place. d) What is the probability that a person selected at random has used his/her cell phone while driving? Express your answer as a fraction in lowest terms, A pond is stocked with fish. A man catches 22 fish and identifies 8 of them as rainbow trout. If you catch one fish from that pond, what is the probability that it will be a rainbow trout? Answer as a fraction in lowest terms. If a person catches nine fish, approxim be rainbow trout? oximately how many will be likely c) The owner of the pond says that there are approximately 500 rainbow trout in the pond, but he doesn't know how many fis are all together. Use probability to estimate the total number of fish in the pond. A traffic light for northbound traffic at a particular intersection stays green for 30 seconds, amber for five seconds and red for 40 seconds. A northbound car comes around the corner and its driver sees the traffic light. Determine the theoretical probability of the driver seeing a green light when he/she first comes around the corner. Express answer as a percent. 5. Briefly explain how to determ ne if you are to aw on an oblique triangle