# SOCR Courses 2011 2012 Stat13 1 Lab2

### From Socr

## Contents |

## Stats 13.1 - Laboratory Activity 2: Coin Die Experiment

Go to SOCR Experiments and use the scroll bar to find the Coin Die Experiment. Once you find it, click on the **About** button and read about the experiment. Answer the following questions with references to graphs where appropriate.

### Problem 1

There are two random variables (X,Y), one parameter (p) for the coin, and the probability distribution that governs each die (green or red) involved in this experiment. Describe what each random variable represents.

- Choose a fair coin (p = 0.5), and fair dice (green and red).
- Perform 10 runs and take a snapshot
- Perform 100 runs and take a snapshot

### Problem 2

Construct the probability distribution of Y

### Problem 3

Comment on the empirical and theoretical distributions how the sample size affects them.

- Reset
- Choose p = 0.8, 1-6 flat for the green die, 3-4 flat for the red die
- Perform 100 runs and take a snapshot

### Problem 4

Construct the probability distribution of Y

### Problem 5

Compute the mean of Y

### Problem 6

Compute the standard deviation of Y

### Problem 7

Verify that these numbers agree with the ones in the applet.

- Reset
- Choose p = 0.2, green fair die, 2-5 flat for red die
- Perform 100 runs and take a snapshot

### Problem 8

Construct the probability distribution of Y

### Problem 9

Comment on the empirical and theoretical distributions. Also, comment on how the coin's parameter (p) affects the theoretical distributions.

### Monte Hall Activity (Let's Make a Deal)

The Monte Hall Activity can be found here: SOCR EduMaterials Activities MontyHall and the applet is here.

- SOCR Home page: http://www.socr.ucla.edu

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