Use the random number generator on a graphing

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Use the random number generator on a graphing calculator. Randomly generate 50 numbers from 0 to 99. The table below shows the results. Let the digits 1 through 6 in the tens place represent rain on Monday. Let digits 1 and 2 in the ones place represent rain on Tuesday. Any number that meets these criteria represents rain on both days. P (rain both days) = 7 50 The experimental probability is 7 50 , 0.14, or 14%. HHH occurred 2 times. There is a total of 20 trials. HTH HTT HTT HTH HTT TTT HHH HTT HTT TTT HTT HTH HTH HHH HTT HTT TTT HTH HTH HTT 7 numbers meet the criteria. There is a total of 50 trials. Study Tip In Example 2, the digits 1 through 6 represent 60% of the possible digits (0 through 9) in the tens place. Likewise, the digits 1 and 2 represent 20% of the possible digits in the ones place. Simulations Si Extension 10.5 52 66 73 68 75 28 35 47 48 2 16 68 49 3 77 35 92 78 6 6 58 18 89 39 24 80 32 41 77 21 32 40 96 59 86 1 12 0 94 73 40 71 28 61 1 24 37 25 3 25
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Extension 10.5 Simulations 437 EXAMPLE Using a Spreadsheet to Simulate Outcomes 3 Each school year, there is a 50% chance that weather causes one or more days of school to be canceled. Design and use a simulation involving 50 randomly generated numbers to find the experimental probability that weather will cause school to be canceled in at least three of the next four school years. Use a random number table in a spreadsheet. Randomly generate 50 four-digit whole numbers. The spreadsheet below shows the results. Let the digits 1 through 5 represent school years with a cancellation. The numbers in the spreadsheet that contain at least three digits from 1 through 5 represent four school years in which at least three of the years have a cancellation. 1 A B C D E F 2 3 4 5 6 7 8 9 10 3300 0797 4714 6951 7938 1719 4547 3024 7584 5454 3022 4511 0578 9551 0662 6220 1554 3805 3974 5351 9067 5115 5560 8552 1814 9497 2708 2725 8614 6319 2193 6952 0740 4321 6218 7530 1126 7320 2500 0387 6553 5609 4479 8043 2766 3036 9395 6487 4629 11 3762 P ( cancellation in at least three of the next four school years ) = 17 50 The experimental probability is 17 50 , 0.34, or 34%. Study Tip To create a four-digit random number table in a spreadsheet, follow these steps. 1. Highlight the group of cells to use for your table. 2. Format the cells to display four-digit whole numbers. 3. Enter the formula RAND()*10000 into each cell. 17 numbers contain at least three digits from 1 to 5. There is a total of 50 trials. 1. QUIZ You randomly guess the answers to four true-false questions. (a) Design a simulation that you can use to model the answers. (b) Use your simulation to find the experimental probability that you answer all four questions correctly. 2. BASEBALL A baseball team wins 70% of its games. Assuming this trend continues, design and use a simulation to find the experimental probability that the team wins the next three games. 3. WHAT IF? In Example 3, there is a 40% chance that weather causes one or more days of school to be canceled each school year. Find the experimental probability that weather will cause school to be canceled in at least three of the next four school years.
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