WARM UP NAME: _______ANSWERS_____ 1. You are at the county fair and decide to try a game of ring toss. You get 5 rings to throw. You win a prize when you throw a ring onto a bottle; however you always get to throw all 5 rings. You know that you have a probability at any time of throwing the ring on the bottle of 43%. a. Write instructions for a simulation of the ring toss game. (5) Prize = 43% No prize = 57% Use the TRD. Prize = 01 – 43 One trial = throwing 5 rings Perform 10 trials Response variable = # of prizes No prize = 44 – 00 b. Using the following table of random digits clearly mark the outcomes of 10 trials. (5) 76|76|81|60|66|94|10|99|06|85|92|05|88|17|44|99|13|33|63|54| 34|29|29|00|92|92|82|7 2|17|03|64|61|60|34|31|47|61|03|19|68|61|59|33|62|59|70|60|05|34|91|95542 02947 01749 98343 29384 01834 01746 06876 98173 02854 82374 91837 12347 91837 13749 18725 54768 27364 27346 18763 02498 29873 04895 04539 # of hits frequency 0 | 1 2 | |||| || 3 | 4 5 c. What is the average number of wins? (2) average = 1.8 wins d. What is the probability that you get more than 3 wins? (2) 0/10 = 0% e. What is the probability that you get 0 wins? (2) 1/10 = 10% f. What is the probability that you get 2 wins or less? (2) 9/10 = 90% 2. Assume that it is known nationally that 38% of all high-schoolers participate in school sports. How many students would you have to talk to until you encountered on who participated in sports? a. Write instructions for 1simulation of this experiment. Participate in sports = 38% Not participate = 62% Use TRD. Participate = 01 – 38 Not = 39 – 00 One trial = until we find someone who plays sports Perform 8 trials Response Variable = # of students spoken to. b. Perform 8 trials of this experiment, using the table below, and record your results on the chart. 2170|3646|16 0343|1 476|10 3196|86|1593 36259 70600 53491 95542 02947 91837 13749 18725 54768 27364 27346 18763 02498 29873 04895 04539 76768 16066 94109 90685 92058 81744 99133 36354 34292 90092 92827 01749 98343 29384 01834 01746 06876 98173 02854 82374 91837 12347 # students frequency 1 ||| 2 |||| 3 | 4 5 6 7 8 9 10+ c. What is the average number of kids you would need to talk to? 1.75 kids