The graph of a probability distribution is shown below. The graph is made up of two line segments and a curved path. 0.25 For each part below, suppose a real number is picked according to the above probability distribution. Do not round any of your answers. (a) Find the probability that the number picked is between 6 and 9. (b) Find the probability that the number picked is 5. (c) Find the probability that the number picked is between 4.4 and 5.2.

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**Probability Distribution Graph Explanation**

The graph above displays a probability distribution and is composed of two line segments and a curved path. Here's a detailed breakdown:

- **Graph Description:**
  - The graph represents a probability distribution over a real number line.
  - The x-axis ranges from 0 to 11, while the y-axis ranges from 0 to 0.25.
  - The probability distribution is defined by two straight line segments and a curved section.
  
- **Segment Analysis:**
  - The graph starts at (2, 0) and rises to (3, 0.25).
  - The line segment is flat between (3, 0.25) and (6, 0.25).
  - From (6, 0.25), the graph curves downwards and ends at (9, 0) as a smooth curve.
  
**Questions for Analysis:**

For each part below, assume a real number is picked according to the above probability distribution. Do not round any of your answers.

(a) Find the probability that the number picked is between 6 and 9.  
\[ \_\_\_\_\_ \]

(b) Find the probability that the number picked is 5.  
\[ \_\_\_\_\_ \]

(c) Find the probability that the number picked is between 4.4 and 5.2.  
\[ \_\_\_\_\_ \]
Transcribed Image Text:**Probability Distribution Graph Explanation** The graph above displays a probability distribution and is composed of two line segments and a curved path. Here's a detailed breakdown: - **Graph Description:** - The graph represents a probability distribution over a real number line. - The x-axis ranges from 0 to 11, while the y-axis ranges from 0 to 0.25. - The probability distribution is defined by two straight line segments and a curved section. - **Segment Analysis:** - The graph starts at (2, 0) and rises to (3, 0.25). - The line segment is flat between (3, 0.25) and (6, 0.25). - From (6, 0.25), the graph curves downwards and ends at (9, 0) as a smooth curve. **Questions for Analysis:** For each part below, assume a real number is picked according to the above probability distribution. Do not round any of your answers. (a) Find the probability that the number picked is between 6 and 9. \[ \_\_\_\_\_ \] (b) Find the probability that the number picked is 5. \[ \_\_\_\_\_ \] (c) Find the probability that the number picked is between 4.4 and 5.2. \[ \_\_\_\_\_ \]
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