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Section 5.3

Section 5.3. Simulating Experiments. If you toss a coin 10 times, what is the likelihood of a run of 3 or more consecutive heads?.

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Section 5.3

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  1. Section 5.3 Simulating Experiments

  2. If you toss a coin 10 times, what is the likelihood of a run of 3 or more consecutive heads? • A couple plans to have children until they have a girl or until they have four total children, whichever comes first. What are the chances they have a girl among the first four children? Types of Questions…

  3. Real Simulation Model Simulation • Gather the means to actually simulate the situation a number of times • Problems with this? • Create a model that in someway simulates the truth about the experiment using tools that we possess. • Coins, Table B, Spinners, Deck of Cards… 2 Options to figure it out…

  4. Situation #1 • Suppose you left your stats book and calculator in your locker, and you need to simulate a random phenomenon that has a 25% chance of occurring. The only thing you have are 2 quarters in your pocket. Describe how you could use the two coins to set up your simulation

  5. Situation #2 • A basketball player makes 70% of her free throws in a season. In a tournament she shoots 5 free throws late in the game and misses 3 of them. The fans described it as nerves, but the misses may have just been by chance. • (a) describe how you could simulate a single shot if the probability of making each one is 0.7. Then describe how to simulate 5 shots. • (b) Simulate 15 repetitions of the 5 shots using Table B at line 125. What is the approximate likelihood that the player will miss 3 or more of the 5 shots?

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