2. Consider Rolling a Fair six sided Dice with sides of 2, 3, 3, 4, 4, 5 (so replace the 1 & 6 with 3 & 4). A. Compute the μx, ox for rolling this dice (once) B. What is the Normal distribution that approximates the Mean and the Totals. C. Find the Probability that the mean of the 70 rolls is less than 3

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### Probability and Statistics Exercise

**2. Consider Rolling a Fair Six-Sided Die:**
- The die has sides labeled 2, 3, 3, 4, 4, 5 (the numbers 1 and 6 are replaced with 3 and 4, respectively).

#### Tasks:
A. **Compute the Mean (\( \mu_X \)) and Standard Deviation (\( \sigma_X \))** for rolling this die once.

B. **Determine the Normal Distribution** that approximates the mean and totals of the rolls.

C. **Find the Probability** that the mean of 70 rolls is less than 3.
Transcribed Image Text:### Probability and Statistics Exercise **2. Consider Rolling a Fair Six-Sided Die:** - The die has sides labeled 2, 3, 3, 4, 4, 5 (the numbers 1 and 6 are replaced with 3 and 4, respectively). #### Tasks: A. **Compute the Mean (\( \mu_X \)) and Standard Deviation (\( \sigma_X \))** for rolling this die once. B. **Determine the Normal Distribution** that approximates the mean and totals of the rolls. C. **Find the Probability** that the mean of 70 rolls is less than 3.
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