**Lab 3**

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*Why aren't they identical? In Discrete 1, the graph the mean and median are the same and **on discrete 2 the mean and the median are different in quantity.*

* **What is the theoretical probability of rolling a 4? There is a 0.950 percent of rolling a 4 in theoretical probability.*

* How does this compare to the empirical probability indicated by your simulation?*

*The difference in our simulation is by a great difference, in our simulation there is 13.7 percent of a difference to roll a four*

*Why isn't it uniform like the rolling of a single die?*

*When you roll a single die you can only have 6 possibilites rather than rolling two and giving 12 possibilites in the sum. Chances of getting different numbers to get the sum has multiple possibilities. *

*What is the theoretical probability of rolling a sum of 5 with two dice?*

*The theortical probability of roling a sum of 5 is 0.878 percent*

*How does this compare to the empirical probability indicated by your simulation?*

*The empirical probability **of rolling a sum of 5 with two dice is .007 percent.*

**Result 1: Sum**[Info]

**Result 2: Histogram 1**[Info]

**Data set 1. Sum**[Info]

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