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:

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.