We will be comparing empirical probabilities (relative frequencies based on an observation of a real-life process)...

 

 

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We will be comparing empirical probabilities (relative frequencies based on an observation of a real-life process) to theoretical probabilities (long-run relative frequency). We will use StatCrunch to simulate this process using a board game spinner. Imagine in a particular game, you picked a card that allowed you to spin the spinner three times in a row. We are interested in the total number of spaces moved in the three consecutive spins. The board game spinner looks like the image below. The spinner is equally likely to land on any given section. 2 1 4 3 2 Calculate the theoretical probability of moving 4 or less spaces in 3 spins (i.e. obtaining the sum of the spins to be 4 or less). Use your probability distribution in part (a) and note that spins are independent. (Hint: Recognize that getting a 1 on spin 1, a 2 on spin 2, and al on spin 3 is a different result than getting a 1 on spin 1, a 1 on spin 2, and a 2 on spin 3.) Show how you obtained this probability and provide the answer. We will be comparing empirical probabilities (relative frequencies based on an observation of a real-life process) to theoretical probabilities (long-run relative frequency). We will use StatCrunch to simulate this process using a board game spinner. Imagine in a particular game, you picked a card that allowed you to spin the spinner three times in a row. We are interested in the total number of spaces moved in the three consecutive spins. The board game spinner looks like the image below. The spinner is equally likely to land on any given section. 2 1 4 3 2 Calculate the theoretical probability of moving 4 or less spaces in 3 spins (i.e. obtaining the sum of the spins to be 4 or less). Use your probability distribution in part (a) and note that spins are independent. (Hint: Recognize that getting a 1 on spin 1, a 2 on spin 2, and al on spin 3 is a different result than getting a 1 on spin 1, a 1 on spin 2, and a 2 on spin 3.) Show how you obtained this probability and provide the answer.

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