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For question 8.51, we are asked to identify which shape is exactly bell-shaped. The options are:

- a) Symmetric Distribution
- b) Normal Distribution
- c) Rightly Skewed
- d) Both a & b

### Explanation:
A **bell-shaped curve** refers to the graphical representation of a **Normal Distribution**. This distribution is symmetric about its mean, where the data near the mean are more frequent in occurrence than data far from the mean. Therefore, it is both **symmetric** and follows a **normal distribution**.

- **Symmetric distribution** refers to any distribution where the left and right sides are mirror images.
- **Normal distribution** is a specific type of symmetric distribution that is bell-shaped.

Thus, the correct answer is:
- **d) Both a & b**

Do you want more details or have any other questions? Here are some relative questions you might consider:

1. What is the difference between normal and other symmetric distributions?
2. How do you calculate the parameters of a normal distribution?
3. What does skewness represent in statistics?
4. How is a right-skewed distribution graphically different from a bell-shaped one?
5. What real-world phenomena typically follow a normal distribution?

**Tip:** Always visualize data distributions with histograms or density plots to understand their shape better.

Explore the concept of bell-shaped curves in statistics, focusing on the difference between symmetric and normal distributions. This detailed guide is suitable for college students studying basic statistics.

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