https://file.aiquickdraw.com/mathbot/file/1725392078127bvlqnpkb.jpg

On the grid, draw a histogram for this information.

The image provided contains instructions to draw a histogram based on a frequency distribution table. Let me first extract the relevant data from the image and then guide you on how to draw the histogram.

### Extracted Data:

From the table in the image, the frequency distribution is as follows:

| Probability (p) | Frequency |
|-----------------|-----------|
| \( 0 \leq p < 0.2 \)  | 4         |
| \( 0.2 \leq p < 0.4 \)  | 8         |
| \( 0.4 \leq p < 0.6 \)  | 15        |
| \( 0.6 \leq p < 0.8 \)  | 12        |
| \( 0.8 \leq p < 1.0 \)  | 7         |

### Steps to Draw the Histogram:

1. **Set up the axes:**
   - The x-axis will represent the probability intervals.
   - The y-axis will represent the frequency.

2. **Label the x-axis:**
   - Mark the intervals \( [0, 0.2) \), \( [0.2, 0.4) \), \( [0.4, 0.6) \), \( [0.6, 0.8) \), and \( [0.8, 1.0) \).

3. **Label the y-axis:**
   - Choose a suitable scale to represent the frequencies. Since the highest frequency is 15, the y-axis should be marked up to at least 15.

4. **Draw the bars:**
   - Draw a bar for each interval where the height corresponds to the frequency.
   - For \( [0, 0.2) \), draw a bar of height 4.
   - For \( [0.2, 0.4) \), draw a bar of height 8.
   - For \( [0.4, 0.6) \), draw a bar of height 15.
   - For \( [0.6, 0.8) \), draw a bar of height 12.
   - For \( [0.8, 1.0) \), draw a bar of height 7.

5. **Add labels and title:**
   - Label the x-axis as "Probability" and the y-axis as "Frequency".
   - Optionally, add a title to your histogram, such as "Histogram of Probability Distribution".

Would you like to see a visual representation of this histogram or do you have any questions about the steps? 

### Related Questions:
1. What is the importance of using a histogram to represent data?
2. How does the choice of interval size affect the appearance of a histogram?
3. What are some common uses of histograms in statistics?
4. Can you explain how to interpret a skewed histogram?
5. What is the difference between a histogram and a bar chart?

### Tip:
When drawing histograms, make sure the intervals on the x-axis are of equal width to accurately represent the data distribution.

Learn how to draw a histogram based on a frequency distribution table for probability intervals. This problem covers key concepts in probability distribution and data visualization using histograms. Suitable for students in Grades 9-12.

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